%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN488+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 13:53:30 EDT 2022 % Result : Theorem 0.99s 1.20s % Output : Proof 1.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN488+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n015.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 : Mon Jul 11 14:36:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.99/1.20 (* PROOF-FOUND *) % 0.99/1.20 % SZS status Theorem % 0.99/1.20 (* BEGIN-PROOF *) % 0.99/1.20 % SZS output start Proof % 0.99/1.20 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a2402))/\((c3_1 (a2402))/\(~(c1_1 (a2402)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a2403))/\((~(c2_1 (a2403)))/\(~(c3_1 (a2403)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c1_1 (a2404)))/\((~(c2_1 (a2404)))/\(~(c3_1 (a2404)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a2405))/\((c2_1 (a2405))/\(~(c3_1 (a2405)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a2407))/\((~(c1_1 (a2407)))/\(~(c2_1 (a2407)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a2408))/\((c3_1 (a2408))/\(~(c2_1 (a2408)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))))/\(((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))))/\(((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a2468))/\((~(c0_1 (a2468)))/\(~(c3_1 (a2468)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))))/\(((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a2500)))/\((~(c1_1 (a2500)))/\(~(c3_1 (a2500)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a2498))/\((c1_1 (a2498))/\(c2_1 (a2498))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp8)\/(hskp9)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp12))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp15)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp2)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp7)\/(hskp20)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp2)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp10)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp2)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp0)\/(hskp9)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp15)\/(hskp24)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/((hskp30)\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/((hskp6)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp5)\/(hskp1)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp25)\/(hskp7)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((hskp6)\/(hskp26)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20)))/\(((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23)))/\(((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp3)\/(hskp24)))/\(((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23)))/\(((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp21)\/(hskp0)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp15)\/(hskp11)))/\(((hskp31)\/((hskp25)\/(hskp27)))/\(((hskp30)\/((hskp26)\/(hskp19)))/\(((hskp26)\/((hskp8)\/(hskp11)))/\(((hskp3)\/((hskp5)\/(hskp18)))/\(((hskp5)\/((hskp19)\/(hskp25)))/\((hskp8)\/((hskp9)\/(hskp7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.99/1.20 Proof. % 0.99/1.20 assert (zenon_L1_ : (~(hskp8)) -> (hskp8) -> False). % 0.99/1.20 do 0 intro. intros zenon_H1 zenon_H2. % 0.99/1.20 exact (zenon_H1 zenon_H2). % 0.99/1.20 (* end of lemma zenon_L1_ *) % 0.99/1.20 assert (zenon_L2_ : (~(hskp9)) -> (hskp9) -> False). % 0.99/1.20 do 0 intro. intros zenon_H3 zenon_H4. % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 (* end of lemma zenon_L2_ *) % 0.99/1.20 assert (zenon_L3_ : (~(hskp7)) -> (hskp7) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5 zenon_H6. % 0.99/1.20 exact (zenon_H5 zenon_H6). % 0.99/1.20 (* end of lemma zenon_L3_ *) % 0.99/1.20 assert (zenon_L4_ : ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp8)) -> (~(hskp9)) -> (~(hskp7)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.99/1.20 exact (zenon_H1 zenon_H2). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 exact (zenon_H5 zenon_H6). % 0.99/1.20 (* end of lemma zenon_L4_ *) % 0.99/1.20 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.99/1.20 do 0 intro. intros zenon_H9 zenon_Ha. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 (* end of lemma zenon_L5_ *) % 0.99/1.20 assert (zenon_L6_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.99/1.20 generalize (zenon_Hb (a2413)). zenon_intro zenon_Hf. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.99/1.20 exact (zenon_Hc zenon_H12). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.99/1.20 exact (zenon_Hd zenon_H14). % 0.99/1.20 exact (zenon_H13 zenon_He). % 0.99/1.20 (* end of lemma zenon_L6_ *) % 0.99/1.20 assert (zenon_L7_ : (~(hskp6)) -> (hskp6) -> False). % 0.99/1.20 do 0 intro. intros zenon_H15 zenon_H16. % 0.99/1.20 exact (zenon_H15 zenon_H16). % 0.99/1.20 (* end of lemma zenon_L7_ *) % 0.99/1.20 assert (zenon_L8_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H5. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 0.99/1.20 apply (zenon_L6_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H6 ]. % 0.99/1.20 exact (zenon_H15 zenon_H16). % 0.99/1.20 exact (zenon_H5 zenon_H6). % 0.99/1.20 (* end of lemma zenon_L8_ *) % 0.99/1.20 assert (zenon_L9_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H19 zenon_Ha zenon_H1a zenon_H1b zenon_H1c. % 0.99/1.20 generalize (zenon_H19 (a2412)). zenon_intro zenon_H1d. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.99/1.20 exact (zenon_H1a zenon_H20). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.99/1.20 exact (zenon_H1b zenon_H22). % 0.99/1.20 exact (zenon_H21 zenon_H1c). % 0.99/1.20 (* end of lemma zenon_L9_ *) % 0.99/1.20 assert (zenon_L10_ : (~(hskp16)) -> (hskp16) -> False). % 0.99/1.20 do 0 intro. intros zenon_H23 zenon_H24. % 0.99/1.20 exact (zenon_H23 zenon_H24). % 0.99/1.20 (* end of lemma zenon_L10_ *) % 0.99/1.20 assert (zenon_L11_ : (~(hskp13)) -> (hskp13) -> False). % 0.99/1.20 do 0 intro. intros zenon_H25 zenon_H26. % 0.99/1.20 exact (zenon_H25 zenon_H26). % 0.99/1.20 (* end of lemma zenon_L11_ *) % 0.99/1.20 assert (zenon_L12_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp13)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H23 zenon_H25. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.99/1.20 apply (zenon_L9_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.99/1.20 exact (zenon_H23 zenon_H24). % 0.99/1.20 exact (zenon_H25 zenon_H26). % 0.99/1.20 (* end of lemma zenon_L12_ *) % 0.99/1.20 assert (zenon_L13_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H29 zenon_Ha zenon_H2a zenon_H2b zenon_H2c. % 0.99/1.20 generalize (zenon_H29 (a2425)). zenon_intro zenon_H2d. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.99/1.20 exact (zenon_H2a zenon_H30). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.99/1.20 exact (zenon_H2b zenon_H32). % 0.99/1.20 exact (zenon_H31 zenon_H2c). % 0.99/1.20 (* end of lemma zenon_L13_ *) % 0.99/1.20 assert (zenon_L14_ : (~(hskp5)) -> (hskp5) -> False). % 0.99/1.20 do 0 intro. intros zenon_H33 zenon_H34. % 0.99/1.20 exact (zenon_H33 zenon_H34). % 0.99/1.20 (* end of lemma zenon_L14_ *) % 0.99/1.20 assert (zenon_L15_ : (~(hskp19)) -> (hskp19) -> False). % 0.99/1.20 do 0 intro. intros zenon_H35 zenon_H36. % 0.99/1.20 exact (zenon_H35 zenon_H36). % 0.99/1.20 (* end of lemma zenon_L15_ *) % 0.99/1.20 assert (zenon_L16_ : ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp19)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H37 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H33 zenon_H35. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ]. % 0.99/1.20 apply (zenon_L13_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ]. % 0.99/1.20 exact (zenon_H33 zenon_H34). % 0.99/1.20 exact (zenon_H35 zenon_H36). % 0.99/1.20 (* end of lemma zenon_L16_ *) % 0.99/1.20 assert (zenon_L17_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (c3_1 (a2432)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.99/1.20 generalize (zenon_H39 (a2432)). zenon_intro zenon_H3d. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.99/1.20 exact (zenon_H3a zenon_H40). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.99/1.20 exact (zenon_H42 zenon_H3b). % 0.99/1.20 exact (zenon_H41 zenon_H3c). % 0.99/1.20 (* end of lemma zenon_L17_ *) % 0.99/1.20 assert (zenon_L18_ : (~(hskp1)) -> (hskp1) -> False). % 0.99/1.20 do 0 intro. intros zenon_H43 zenon_H44. % 0.99/1.20 exact (zenon_H43 zenon_H44). % 0.99/1.20 (* end of lemma zenon_L18_ *) % 0.99/1.20 assert (zenon_L19_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp9)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H45 zenon_H46 zenon_H43 zenon_H3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ]. % 0.99/1.20 apply (zenon_L17_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H44 | zenon_intro zenon_H4 ]. % 0.99/1.20 exact (zenon_H43 zenon_H44). % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 (* end of lemma zenon_L19_ *) % 0.99/1.20 assert (zenon_L20_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.20 apply (zenon_L16_); trivial. % 0.99/1.20 apply (zenon_L19_); trivial. % 0.99/1.20 (* end of lemma zenon_L20_ *) % 0.99/1.20 assert (zenon_L21_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.20 apply (zenon_L12_); trivial. % 0.99/1.20 apply (zenon_L20_); trivial. % 0.99/1.20 (* end of lemma zenon_L21_ *) % 0.99/1.20 assert (zenon_L22_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H4f zenon_Ha zenon_H50 zenon_H51 zenon_H52. % 0.99/1.20 generalize (zenon_H4f (a2418)). zenon_intro zenon_H53. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H9 | zenon_intro zenon_H54 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.99/1.20 exact (zenon_H50 zenon_H56). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.99/1.20 exact (zenon_H58 zenon_H51). % 0.99/1.20 exact (zenon_H57 zenon_H52). % 0.99/1.20 (* end of lemma zenon_L22_ *) % 0.99/1.20 assert (zenon_L23_ : (~(hskp12)) -> (hskp12) -> False). % 0.99/1.20 do 0 intro. intros zenon_H59 zenon_H5a. % 0.99/1.20 exact (zenon_H59 zenon_H5a). % 0.99/1.20 (* end of lemma zenon_L23_ *) % 0.99/1.20 assert (zenon_L24_ : (~(hskp11)) -> (hskp11) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5b zenon_H5c. % 0.99/1.20 exact (zenon_H5b zenon_H5c). % 0.99/1.20 (* end of lemma zenon_L24_ *) % 0.99/1.20 assert (zenon_L25_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5d zenon_H5e zenon_H59 zenon_H5b. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ]. % 0.99/1.20 exact (zenon_H59 zenon_H5a). % 0.99/1.20 exact (zenon_H5b zenon_H5c). % 0.99/1.20 (* end of lemma zenon_L25_ *) % 0.99/1.20 assert (zenon_L26_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.20 apply (zenon_L21_); trivial. % 0.99/1.20 apply (zenon_L25_); trivial. % 0.99/1.20 (* end of lemma zenon_L26_ *) % 0.99/1.20 assert (zenon_L27_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H63 zenon_Ha zenon_H64 zenon_H65 zenon_H66. % 0.99/1.20 generalize (zenon_H63 (a2417)). zenon_intro zenon_H67. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H9 | zenon_intro zenon_H68 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.99/1.20 exact (zenon_H64 zenon_H6a). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.99/1.20 exact (zenon_H65 zenon_H6c). % 0.99/1.20 exact (zenon_H6b zenon_H66). % 0.99/1.20 (* end of lemma zenon_L27_ *) % 0.99/1.20 assert (zenon_L28_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> (~(hskp11)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H6d zenon_H6e zenon_H15 zenon_H5b. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H63 | zenon_intro zenon_H71 ]. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H16 | zenon_intro zenon_H5c ]. % 0.99/1.20 exact (zenon_H15 zenon_H16). % 0.99/1.20 exact (zenon_H5b zenon_H5c). % 0.99/1.20 (* end of lemma zenon_L28_ *) % 0.99/1.20 assert (zenon_L29_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H72 zenon_Ha zenon_H73 zenon_H74 zenon_H75. % 0.99/1.20 generalize (zenon_H72 (a2416)). zenon_intro zenon_H76. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.99/1.20 exact (zenon_H73 zenon_H79). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.99/1.20 exact (zenon_H74 zenon_H7b). % 0.99/1.20 exact (zenon_H7a zenon_H75). % 0.99/1.20 (* end of lemma zenon_L29_ *) % 0.99/1.20 assert (zenon_L30_ : (~(hskp10)) -> (hskp10) -> False). % 0.99/1.20 do 0 intro. intros zenon_H7c zenon_H7d. % 0.99/1.20 exact (zenon_H7c zenon_H7d). % 0.99/1.20 (* end of lemma zenon_L30_ *) % 0.99/1.20 assert (zenon_L31_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp16)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H7e zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H7c zenon_H23. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H72 | zenon_intro zenon_H7f ]. % 0.99/1.20 apply (zenon_L29_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H7d | zenon_intro zenon_H24 ]. % 0.99/1.20 exact (zenon_H7c zenon_H7d). % 0.99/1.20 exact (zenon_H23 zenon_H24). % 0.99/1.20 (* end of lemma zenon_L31_ *) % 0.99/1.20 assert (zenon_L32_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H80 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_H7c zenon_H7e. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.20 apply (zenon_L31_); trivial. % 0.99/1.20 apply (zenon_L20_); trivial. % 0.99/1.20 (* end of lemma zenon_L32_ *) % 0.99/1.20 assert (zenon_L33_ : (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H83 zenon_Ha zenon_H84 zenon_H85 zenon_H86. % 0.99/1.20 generalize (zenon_H83 (a2414)). zenon_intro zenon_H87. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_H9 | zenon_intro zenon_H88 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.99/1.20 exact (zenon_H84 zenon_H8a). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 0.99/1.20 exact (zenon_H85 zenon_H8c). % 0.99/1.20 exact (zenon_H8b zenon_H86). % 0.99/1.20 (* end of lemma zenon_L33_ *) % 0.99/1.20 assert (zenon_L34_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 0.99/1.20 apply (zenon_L33_); trivial. % 0.99/1.20 exact (zenon_H35 zenon_H36). % 0.99/1.20 (* end of lemma zenon_L34_ *) % 0.99/1.20 assert (zenon_L35_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5d zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H8d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.20 apply (zenon_L34_); trivial. % 0.99/1.20 apply (zenon_L19_); trivial. % 0.99/1.20 (* end of lemma zenon_L35_ *) % 0.99/1.20 assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H8f zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.20 apply (zenon_L21_); trivial. % 0.99/1.20 apply (zenon_L35_); trivial. % 0.99/1.20 (* end of lemma zenon_L36_ *) % 0.99/1.20 assert (zenon_L37_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H92 zenon_H17 zenon_H15 zenon_H5. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.99/1.20 apply (zenon_L8_); trivial. % 0.99/1.20 (* end of lemma zenon_L37_ *) % 0.99/1.20 assert (zenon_L38_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H95 zenon_H17 zenon_H5 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H98. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.20 apply (zenon_L26_); trivial. % 0.99/1.20 apply (zenon_L28_); trivial. % 0.99/1.20 apply (zenon_L32_); trivial. % 0.99/1.20 apply (zenon_L36_); trivial. % 0.99/1.20 apply (zenon_L37_); trivial. % 0.99/1.20 (* end of lemma zenon_L38_ *) % 0.99/1.20 assert (zenon_L39_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H99 zenon_Ha zenon_H9a zenon_H9b zenon_H9c. % 0.99/1.20 generalize (zenon_H99 (a2411)). zenon_intro zenon_H9d. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.99/1.20 exact (zenon_H9a zenon_Ha0). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.99/1.20 exact (zenon_H9b zenon_Ha2). % 0.99/1.20 exact (zenon_Ha1 zenon_H9c). % 0.99/1.20 (* end of lemma zenon_L39_ *) % 0.99/1.20 assert (zenon_L40_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp12)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H23 zenon_H59. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.99/1.20 apply (zenon_L39_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H24 | zenon_intro zenon_H5a ]. % 0.99/1.20 exact (zenon_H23 zenon_H24). % 0.99/1.20 exact (zenon_H59 zenon_H5a). % 0.99/1.20 (* end of lemma zenon_L40_ *) % 0.99/1.20 assert (zenon_L41_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.20 apply (zenon_L40_); trivial. % 0.99/1.20 apply (zenon_L20_); trivial. % 0.99/1.20 (* end of lemma zenon_L41_ *) % 0.99/1.20 assert (zenon_L42_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H65 zenon_Ha6 zenon_H64 zenon_H66. % 0.99/1.20 generalize (zenon_Ha5 (a2417)). zenon_intro zenon_Ha7. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha8 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H6c | zenon_intro zenon_Ha9 ]. % 0.99/1.20 exact (zenon_H65 zenon_H6c). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H6b ]. % 0.99/1.20 generalize (zenon_Ha6 (a2417)). zenon_intro zenon_Hab. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H9 | zenon_intro zenon_Hac ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H6a | zenon_intro zenon_Had ]. % 0.99/1.20 exact (zenon_H64 zenon_H6a). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H6c | zenon_intro zenon_Hae ]. % 0.99/1.20 exact (zenon_H65 zenon_H6c). % 0.99/1.20 exact (zenon_Haa zenon_Hae). % 0.99/1.20 exact (zenon_H6b zenon_H66). % 0.99/1.20 (* end of lemma zenon_L42_ *) % 0.99/1.20 assert (zenon_L43_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Haf zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_Ha zenon_H7c. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ]. % 0.99/1.20 apply (zenon_L42_); trivial. % 0.99/1.20 exact (zenon_H7c zenon_H7d). % 0.99/1.20 (* end of lemma zenon_L43_ *) % 0.99/1.20 assert (zenon_L44_ : (~(hskp0)) -> (hskp0) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb1 zenon_Hb2. % 0.99/1.20 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.20 (* end of lemma zenon_L44_ *) % 0.99/1.20 assert (zenon_L45_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H6d zenon_Hb3 zenon_H7c zenon_Haf zenon_Hb1. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ]. % 0.99/1.20 apply (zenon_L43_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ]. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.20 (* end of lemma zenon_L45_ *) % 0.99/1.20 assert (zenon_L46_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.20 apply (zenon_L41_); trivial. % 0.99/1.20 apply (zenon_L45_); trivial. % 0.99/1.20 (* end of lemma zenon_L46_ *) % 0.99/1.20 assert (zenon_L47_ : (~(hskp26)) -> (hskp26) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb5 zenon_Hb6. % 0.99/1.20 exact (zenon_Hb5 zenon_Hb6). % 0.99/1.20 (* end of lemma zenon_L47_ *) % 0.99/1.20 assert (zenon_L48_ : ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp26)) -> (~(hskp8)) -> (~(hskp11)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb7 zenon_Hb5 zenon_H1 zenon_H5b. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb8 ]. % 0.99/1.20 exact (zenon_Hb5 zenon_Hb6). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H2 | zenon_intro zenon_H5c ]. % 0.99/1.20 exact (zenon_H1 zenon_H2). % 0.99/1.20 exact (zenon_H5b zenon_H5c). % 0.99/1.20 (* end of lemma zenon_L48_ *) % 0.99/1.20 assert (zenon_L49_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc. % 0.99/1.20 generalize (zenon_Hb9 (a2484)). zenon_intro zenon_Hbd. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbe ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.99/1.20 exact (zenon_Hba zenon_Hc0). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ]. % 0.99/1.20 exact (zenon_Hc2 zenon_Hbb). % 0.99/1.20 exact (zenon_Hc1 zenon_Hbc). % 0.99/1.20 (* end of lemma zenon_L49_ *) % 0.99/1.20 assert (zenon_L50_ : (~(hskp14)) -> (hskp14) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hc3 zenon_Hc4. % 0.99/1.20 exact (zenon_Hc3 zenon_Hc4). % 0.99/1.20 (* end of lemma zenon_L50_ *) % 0.99/1.20 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp14)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_Hc3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_L39_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hc4 ]. % 0.99/1.20 apply (zenon_L49_); trivial. % 0.99/1.20 exact (zenon_Hc3 zenon_Hc4). % 0.99/1.20 (* end of lemma zenon_L51_ *) % 0.99/1.20 assert (zenon_L52_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hca zenon_Hc6 zenon_Hc3 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 apply (zenon_L51_); trivial. % 0.99/1.20 (* end of lemma zenon_L52_ *) % 0.99/1.20 assert (zenon_L53_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H4f zenon_Ha zenon_Hcb zenon_Hcc zenon_Hcd. % 0.99/1.20 generalize (zenon_H4f (a2420)). zenon_intro zenon_Hce. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcf ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.99/1.20 exact (zenon_Hcb zenon_Hd1). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.99/1.20 exact (zenon_Hd3 zenon_Hcc). % 0.99/1.20 exact (zenon_Hd2 zenon_Hcd). % 0.99/1.20 (* end of lemma zenon_L53_ *) % 0.99/1.20 assert (zenon_L54_ : (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_H4f zenon_Hcc zenon_Hcd. % 0.99/1.20 generalize (zenon_Hd4 (a2420)). zenon_intro zenon_Hd5. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd6 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd0 ]. % 0.99/1.20 apply (zenon_L53_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.99/1.20 exact (zenon_Hd3 zenon_Hcc). % 0.99/1.20 exact (zenon_Hd2 zenon_Hcd). % 0.99/1.20 (* end of lemma zenon_L54_ *) % 0.99/1.20 assert (zenon_L55_ : (~(hskp20)) -> (hskp20) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hd7 zenon_Hd8. % 0.99/1.20 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.20 (* end of lemma zenon_L55_ *) % 0.99/1.20 assert (zenon_L56_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2420))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hd9 zenon_Hda zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.99/1.20 generalize (zenon_Hdc (a2420)). zenon_intro zenon_Hdd. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hde ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 0.99/1.20 exact (zenon_Hda zenon_He0). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd2 ]. % 0.99/1.20 apply (zenon_L53_); trivial. % 0.99/1.20 exact (zenon_Hd2 zenon_Hcd). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 0.99/1.20 apply (zenon_L54_); trivial. % 0.99/1.20 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.20 (* end of lemma zenon_L56_ *) % 0.99/1.20 assert (zenon_L57_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H8d zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 0.99/1.20 apply (zenon_L56_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 0.99/1.20 apply (zenon_L33_); trivial. % 0.99/1.20 exact (zenon_H35 zenon_H36). % 0.99/1.20 (* end of lemma zenon_L57_ *) % 0.99/1.20 assert (zenon_L58_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c1_1 (a2435)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H19 zenon_Ha zenon_He1 zenon_He2 zenon_He3. % 0.99/1.20 generalize (zenon_H19 (a2435)). zenon_intro zenon_He4. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.99/1.20 exact (zenon_He1 zenon_He7). % 0.99/1.20 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 0.99/1.20 exact (zenon_He2 zenon_He9). % 0.99/1.20 exact (zenon_He8 zenon_He3). % 0.99/1.20 (* end of lemma zenon_L58_ *) % 0.99/1.20 assert (zenon_L59_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2435))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Ha6 zenon_Ha zenon_He1 zenon_H19 zenon_He2. % 0.99/1.20 generalize (zenon_Ha6 (a2435)). zenon_intro zenon_Hea. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He7 | zenon_intro zenon_Hec ]. % 0.99/1.20 exact (zenon_He1 zenon_He7). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He3 | zenon_intro zenon_He9 ]. % 0.99/1.20 apply (zenon_L58_); trivial. % 0.99/1.20 exact (zenon_He2 zenon_He9). % 0.99/1.20 (* end of lemma zenon_L59_ *) % 0.99/1.20 assert (zenon_L60_ : (~(hskp29)) -> (hskp29) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hed zenon_Hee. % 0.99/1.20 exact (zenon_Hed zenon_Hee). % 0.99/1.20 (* end of lemma zenon_L60_ *) % 0.99/1.20 assert (zenon_L61_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hef zenon_He2 zenon_He1 zenon_Ha zenon_Ha6 zenon_Hed zenon_Hb1. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 0.99/1.20 apply (zenon_L59_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 0.99/1.20 exact (zenon_Hed zenon_Hee). % 0.99/1.20 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.20 (* end of lemma zenon_L61_ *) % 0.99/1.20 assert (zenon_L62_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb3 zenon_Hed zenon_He1 zenon_He2 zenon_Hef zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_Hb1. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ]. % 0.99/1.20 apply (zenon_L61_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ]. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.20 (* end of lemma zenon_L62_ *) % 0.99/1.20 assert (zenon_L63_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H72 zenon_Ha zenon_H19 zenon_He1 zenon_He2 zenon_Hf1. % 0.99/1.20 generalize (zenon_H72 (a2435)). zenon_intro zenon_Hf2. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf3 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf4 ]. % 0.99/1.20 apply (zenon_L58_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf5 ]. % 0.99/1.20 exact (zenon_He2 zenon_He9). % 0.99/1.20 exact (zenon_Hf5 zenon_Hf1). % 0.99/1.20 (* end of lemma zenon_L63_ *) % 0.99/1.20 assert (zenon_L64_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_Hda zenon_H4f zenon_Hcc zenon_Hcd. % 0.99/1.20 generalize (zenon_Hb9 (a2420)). zenon_intro zenon_Hf6. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf7 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_He0 | zenon_intro zenon_Hf8 ]. % 0.99/1.20 exact (zenon_Hda zenon_He0). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hd3 ]. % 0.99/1.20 apply (zenon_L53_); trivial. % 0.99/1.20 exact (zenon_Hd3 zenon_Hcc). % 0.99/1.20 (* end of lemma zenon_L64_ *) % 0.99/1.20 assert (zenon_L65_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf9 zenon_Ha zenon_Hfa zenon_Hfb zenon_Hfc. % 0.99/1.20 generalize (zenon_Hf9 (a2409)). zenon_intro zenon_Hfd. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfe ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.99/1.20 exact (zenon_H100 zenon_Hfa). % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.99/1.20 exact (zenon_H102 zenon_Hfb). % 0.99/1.20 exact (zenon_H101 zenon_Hfc). % 0.99/1.20 (* end of lemma zenon_L65_ *) % 0.99/1.20 assert (zenon_L66_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Ha5 zenon_Ha zenon_Hf9 zenon_Hfb zenon_Hfc. % 0.99/1.20 generalize (zenon_Ha5 (a2409)). zenon_intro zenon_H103. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H9 | zenon_intro zenon_H104 ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hff ]. % 0.99/1.20 apply (zenon_L65_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.99/1.20 exact (zenon_H102 zenon_Hfb). % 0.99/1.20 exact (zenon_H101 zenon_Hfc). % 0.99/1.20 (* end of lemma zenon_L66_ *) % 0.99/1.20 assert (zenon_L67_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_Ha5 zenon_Ha zenon_Hfb zenon_Hfc. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 0.99/1.20 apply (zenon_L33_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 0.99/1.20 apply (zenon_L64_); trivial. % 0.99/1.20 apply (zenon_L66_); trivial. % 0.99/1.20 (* end of lemma zenon_L67_ *) % 0.99/1.20 assert (zenon_L68_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H8d zenon_H43 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_Hfb zenon_Hfc zenon_H19 zenon_He1 zenon_He2 zenon_Hf1 zenon_H107 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.20 apply (zenon_L63_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.20 apply (zenon_L67_); trivial. % 0.99/1.20 exact (zenon_H43 zenon_H44). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 0.99/1.20 apply (zenon_L33_); trivial. % 0.99/1.20 exact (zenon_H35 zenon_H36). % 0.99/1.20 (* end of lemma zenon_L68_ *) % 0.99/1.20 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H109 zenon_H27 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H43 zenon_H8d zenon_H23 zenon_H25. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.99/1.20 exact (zenon_H23 zenon_H24). % 0.99/1.20 exact (zenon_H25 zenon_H26). % 0.99/1.20 (* end of lemma zenon_L69_ *) % 0.99/1.20 assert (zenon_L70_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H10d zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.21 apply (zenon_L62_); trivial. % 0.99/1.21 apply (zenon_L69_); trivial. % 0.99/1.21 (* end of lemma zenon_L70_ *) % 0.99/1.21 assert (zenon_L71_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H35 zenon_H8d. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.21 apply (zenon_L57_); trivial. % 0.99/1.21 apply (zenon_L70_); trivial. % 0.99/1.21 (* end of lemma zenon_L71_ *) % 0.99/1.21 assert (zenon_L72_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_L71_); trivial. % 0.99/1.21 apply (zenon_L19_); trivial. % 0.99/1.21 (* end of lemma zenon_L72_ *) % 0.99/1.21 assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H3 zenon_H46 zenon_H4b. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_L72_); trivial. % 0.99/1.21 apply (zenon_L20_); trivial. % 0.99/1.21 (* end of lemma zenon_L73_ *) % 0.99/1.21 assert (zenon_L74_ : (~(hskp30)) -> (hskp30) -> False). % 0.99/1.21 do 0 intro. intros zenon_H115 zenon_H116. % 0.99/1.21 exact (zenon_H115 zenon_H116). % 0.99/1.21 (* end of lemma zenon_L74_ *) % 0.99/1.21 assert (zenon_L75_ : ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp30)) -> (~(hskp26)) -> (~(hskp19)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H117 zenon_H115 zenon_Hb5 zenon_H35. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H116 | zenon_intro zenon_H118 ]. % 0.99/1.21 exact (zenon_H115 zenon_H116). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H36 ]. % 0.99/1.21 exact (zenon_Hb5 zenon_Hb6). % 0.99/1.21 exact (zenon_H35 zenon_H36). % 0.99/1.21 (* end of lemma zenon_L75_ *) % 0.99/1.21 assert (zenon_L76_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H119 zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 0.99/1.21 generalize (zenon_H119 (a2450)). zenon_intro zenon_H11d. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11e ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.99/1.21 exact (zenon_H120 zenon_H11a). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.99/1.21 exact (zenon_H122 zenon_H11b). % 0.99/1.21 exact (zenon_H121 zenon_H11c). % 0.99/1.21 (* end of lemma zenon_L76_ *) % 0.99/1.21 assert (zenon_L77_ : (~(hskp23)) -> (hskp23) -> False). % 0.99/1.21 do 0 intro. intros zenon_H123 zenon_H124. % 0.99/1.21 exact (zenon_H123 zenon_H124). % 0.99/1.21 (* end of lemma zenon_L77_ *) % 0.99/1.21 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp23)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H125 zenon_H126 zenon_Hc3 zenon_H123. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ]. % 0.99/1.21 apply (zenon_L76_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ]. % 0.99/1.21 exact (zenon_Hc3 zenon_Hc4). % 0.99/1.21 exact (zenon_H123 zenon_H124). % 0.99/1.21 (* end of lemma zenon_L78_ *) % 0.99/1.21 assert (zenon_L79_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_Hb5 zenon_H35 zenon_H117. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_L75_); trivial. % 0.99/1.21 apply (zenon_L78_); trivial. % 0.99/1.21 (* end of lemma zenon_L79_ *) % 0.99/1.21 assert (zenon_L80_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L79_); trivial. % 0.99/1.21 apply (zenon_L51_); trivial. % 0.99/1.21 (* end of lemma zenon_L80_ *) % 0.99/1.21 assert (zenon_L81_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_Ha zenon_H43. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L29_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L81_ *) % 0.99/1.21 assert (zenon_L82_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a2455))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H39 zenon_Ha zenon_H12b zenon_Ha5 zenon_H12c zenon_H12d. % 0.99/1.21 generalize (zenon_H39 (a2455)). zenon_intro zenon_H12e. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H9 | zenon_intro zenon_H12f ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.99/1.21 exact (zenon_H12b zenon_H131). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H133 | zenon_intro zenon_H132 ]. % 0.99/1.21 generalize (zenon_Ha5 (a2455)). zenon_intro zenon_H134. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H9 | zenon_intro zenon_H135 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.99/1.21 exact (zenon_H133 zenon_H137). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H132 ]. % 0.99/1.21 exact (zenon_H138 zenon_H12c). % 0.99/1.21 exact (zenon_H132 zenon_H12d). % 0.99/1.21 exact (zenon_H132 zenon_H12d). % 0.99/1.21 (* end of lemma zenon_L82_ *) % 0.99/1.21 assert (zenon_L83_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H4b zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H46 zenon_H3 zenon_H139 zenon_H13a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.21 apply (zenon_L80_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L81_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H39 | zenon_intro zenon_H49 ]. % 0.99/1.21 apply (zenon_L82_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H44 | zenon_intro zenon_H4 ]. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 exact (zenon_H3 zenon_H4). % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 apply (zenon_L19_); trivial. % 0.99/1.21 (* end of lemma zenon_L83_ *) % 0.99/1.21 assert (zenon_L84_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H8d zenon_Hb7 zenon_H1 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.21 apply (zenon_L46_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L41_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.21 apply (zenon_L52_); trivial. % 0.99/1.21 apply (zenon_L73_); trivial. % 0.99/1.21 apply (zenon_L35_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L41_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.21 apply (zenon_L83_); trivial. % 0.99/1.21 apply (zenon_L73_); trivial. % 0.99/1.21 apply (zenon_L35_); trivial. % 0.99/1.21 (* end of lemma zenon_L84_ *) % 0.99/1.21 assert (zenon_L85_ : (~(hskp4)) -> (hskp4) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13f zenon_H140. % 0.99/1.21 exact (zenon_H13f zenon_H140). % 0.99/1.21 (* end of lemma zenon_L85_ *) % 0.99/1.21 assert (zenon_L86_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H45 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H13f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 0.99/1.21 apply (zenon_L17_); trivial. % 0.99/1.21 exact (zenon_H13f zenon_H140). % 0.99/1.21 (* end of lemma zenon_L86_ *) % 0.99/1.21 assert (zenon_L87_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_L16_); trivial. % 0.99/1.21 apply (zenon_L86_); trivial. % 0.99/1.21 (* end of lemma zenon_L87_ *) % 0.99/1.21 assert (zenon_L88_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_L40_); trivial. % 0.99/1.21 apply (zenon_L87_); trivial. % 0.99/1.21 (* end of lemma zenon_L88_ *) % 0.99/1.21 assert (zenon_L89_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L88_); trivial. % 0.99/1.21 apply (zenon_L45_); trivial. % 0.99/1.21 (* end of lemma zenon_L89_ *) % 0.99/1.21 assert (zenon_L90_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H97 zenon_H6e zenon_H5b zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L88_); trivial. % 0.99/1.21 apply (zenon_L28_); trivial. % 0.99/1.21 (* end of lemma zenon_L90_ *) % 0.99/1.21 assert (zenon_L91_ : (~(hskp21)) -> (hskp21) -> False). % 0.99/1.21 do 0 intro. intros zenon_H143 zenon_H144. % 0.99/1.21 exact (zenon_H143 zenon_H144). % 0.99/1.21 (* end of lemma zenon_L91_ *) % 0.99/1.21 assert (zenon_L92_ : (~(hskp17)) -> (hskp17) -> False). % 0.99/1.21 do 0 intro. intros zenon_H145 zenon_H146. % 0.99/1.21 exact (zenon_H145 zenon_H146). % 0.99/1.21 (* end of lemma zenon_L92_ *) % 0.99/1.21 assert (zenon_L93_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H147 zenon_H12d zenon_H12c zenon_Ha5 zenon_H12b zenon_Ha zenon_H143 zenon_H145. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H39 | zenon_intro zenon_H148 ]. % 0.99/1.21 apply (zenon_L82_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H146 ]. % 0.99/1.21 exact (zenon_H143 zenon_H144). % 0.99/1.21 exact (zenon_H145 zenon_H146). % 0.99/1.21 (* end of lemma zenon_L93_ *) % 0.99/1.21 assert (zenon_L94_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> (~(hskp21)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13b zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H145 zenon_H143 zenon_H147 zenon_H43. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L81_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_L93_); trivial. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L94_ *) % 0.99/1.21 assert (zenon_L95_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H149 zenon_Ha zenon_H14a zenon_H14b zenon_H14c. % 0.99/1.21 generalize (zenon_H149 (a2437)). zenon_intro zenon_H14d. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_H9 | zenon_intro zenon_H14e ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ]. % 0.99/1.21 exact (zenon_H14a zenon_H150). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.99/1.21 exact (zenon_H152 zenon_H14b). % 0.99/1.21 exact (zenon_H151 zenon_H14c). % 0.99/1.21 (* end of lemma zenon_L95_ *) % 0.99/1.21 assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H153 zenon_H154 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_He zenon_Hd zenon_Hc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 0.99/1.21 apply (zenon_L81_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_L95_); trivial. % 0.99/1.21 (* end of lemma zenon_L96_ *) % 0.99/1.21 assert (zenon_L97_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp17)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H147 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H143 zenon_H145. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H39 | zenon_intro zenon_H148 ]. % 0.99/1.21 apply (zenon_L17_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H146 ]. % 0.99/1.21 exact (zenon_H143 zenon_H144). % 0.99/1.21 exact (zenon_H145 zenon_H146). % 0.99/1.21 (* end of lemma zenon_L97_ *) % 0.99/1.21 assert (zenon_L98_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H45 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H145 zenon_H147. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 0.99/1.21 apply (zenon_L97_); trivial. % 0.99/1.21 apply (zenon_L96_); trivial. % 0.99/1.21 (* end of lemma zenon_L98_ *) % 0.99/1.21 assert (zenon_L99_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H159 zenon_H15a zenon_H15b. % 0.99/1.21 generalize (zenon_Ha5 (a2427)). zenon_intro zenon_H15c. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H9 | zenon_intro zenon_H15d ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ]. % 0.99/1.21 exact (zenon_H159 zenon_H15f). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.99/1.21 exact (zenon_H161 zenon_H15a). % 0.99/1.21 exact (zenon_H160 zenon_H15b). % 0.99/1.21 (* end of lemma zenon_L99_ *) % 0.99/1.21 assert (zenon_L100_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H162 zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H43. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L81_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_L99_); trivial. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L100_ *) % 0.99/1.21 assert (zenon_L101_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H165 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H4b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.21 apply (zenon_L80_); trivial. % 0.99/1.21 apply (zenon_L94_); trivial. % 0.99/1.21 apply (zenon_L96_); trivial. % 0.99/1.21 apply (zenon_L98_); trivial. % 0.99/1.21 apply (zenon_L100_); trivial. % 0.99/1.21 (* end of lemma zenon_L101_ *) % 0.99/1.21 assert (zenon_L102_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H166 zenon_Ha zenon_H73 zenon_Ha6 zenon_H74 zenon_H75. % 0.99/1.21 generalize (zenon_H166 (a2416)). zenon_intro zenon_H167. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_H9 | zenon_intro zenon_H168 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H79 | zenon_intro zenon_H169 ]. % 0.99/1.21 exact (zenon_H73 zenon_H79). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16a | zenon_intro zenon_H7a ]. % 0.99/1.21 generalize (zenon_Ha6 (a2416)). zenon_intro zenon_H16b. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_H9 | zenon_intro zenon_H16c ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ]. % 0.99/1.21 exact (zenon_H16a zenon_H16e). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H79 | zenon_intro zenon_H7b ]. % 0.99/1.21 exact (zenon_H73 zenon_H79). % 0.99/1.21 exact (zenon_H74 zenon_H7b). % 0.99/1.21 exact (zenon_H7a zenon_H75). % 0.99/1.21 (* end of lemma zenon_L102_ *) % 0.99/1.21 assert (zenon_L103_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L102_); trivial. % 0.99/1.21 exact (zenon_Hed zenon_Hee). % 0.99/1.21 (* end of lemma zenon_L103_ *) % 0.99/1.21 assert (zenon_L104_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hb3 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H66 zenon_H65 zenon_H64 zenon_Ha zenon_Hb1. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ]. % 0.99/1.21 apply (zenon_L103_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ]. % 0.99/1.21 apply (zenon_L27_); trivial. % 0.99/1.21 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.21 (* end of lemma zenon_L104_ *) % 0.99/1.21 assert (zenon_L105_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H149 zenon_Ha zenon_Hf9 zenon_Hfb zenon_Hfc zenon_H10c. % 0.99/1.21 generalize (zenon_H149 (a2409)). zenon_intro zenon_H171. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_H9 | zenon_intro zenon_H172 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hfa | zenon_intro zenon_H173 ]. % 0.99/1.21 apply (zenon_L65_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H102 ]. % 0.99/1.21 exact (zenon_H174 zenon_H10c). % 0.99/1.21 exact (zenon_H102 zenon_Hfb). % 0.99/1.21 (* end of lemma zenon_L105_ *) % 0.99/1.21 assert (zenon_L106_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_H149 zenon_Ha zenon_Hfb zenon_Hfc zenon_H10c. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 0.99/1.21 apply (zenon_L33_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 0.99/1.21 apply (zenon_L64_); trivial. % 0.99/1.21 apply (zenon_L105_); trivial. % 0.99/1.21 (* end of lemma zenon_L106_ *) % 0.99/1.21 assert (zenon_L107_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H8d zenon_H10c zenon_Hfc zenon_Hfb zenon_H149 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 0.99/1.21 apply (zenon_L106_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 0.99/1.21 apply (zenon_L33_); trivial. % 0.99/1.21 exact (zenon_H35 zenon_H36). % 0.99/1.21 (* end of lemma zenon_L107_ *) % 0.99/1.21 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H109 zenon_H154 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H35. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 0.99/1.21 apply (zenon_L81_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_L107_); trivial. % 0.99/1.21 (* end of lemma zenon_L108_ *) % 0.99/1.21 assert (zenon_L109_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H112 zenon_H165 zenon_H139 zenon_H10e zenon_H154 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H43 zenon_H107 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_H158 zenon_H4b. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.21 apply (zenon_L104_); trivial. % 0.99/1.21 apply (zenon_L108_); trivial. % 0.99/1.21 apply (zenon_L98_); trivial. % 0.99/1.21 apply (zenon_L100_); trivial. % 0.99/1.21 (* end of lemma zenon_L109_ *) % 0.99/1.21 assert (zenon_L110_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H16f zenon_Hb1 zenon_Hb3 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.21 apply (zenon_L101_); trivial. % 0.99/1.21 apply (zenon_L109_); trivial. % 0.99/1.21 (* end of lemma zenon_L110_ *) % 0.99/1.21 assert (zenon_L111_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H80 zenon_H97 zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H16f zenon_Hb1 zenon_Hb3 zenon_H13a zenon_H139 zenon_H147 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H154 zenon_H158 zenon_H165 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L88_); trivial. % 0.99/1.21 apply (zenon_L110_); trivial. % 0.99/1.21 (* end of lemma zenon_L111_ *) % 0.99/1.21 assert (zenon_L112_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_L12_); trivial. % 0.99/1.21 apply (zenon_L87_); trivial. % 0.99/1.21 (* end of lemma zenon_L112_ *) % 0.99/1.21 assert (zenon_L113_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.21 apply (zenon_L112_); trivial. % 0.99/1.21 apply (zenon_L25_); trivial. % 0.99/1.21 (* end of lemma zenon_L113_ *) % 0.99/1.21 assert (zenon_L114_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H80 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_H7c zenon_H7e. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_L31_); trivial. % 0.99/1.21 apply (zenon_L87_); trivial. % 0.99/1.21 (* end of lemma zenon_L114_ *) % 0.99/1.21 assert (zenon_L115_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H5d zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H8d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_L34_); trivial. % 0.99/1.21 apply (zenon_L86_); trivial. % 0.99/1.21 (* end of lemma zenon_L115_ *) % 0.99/1.21 assert (zenon_L116_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H8f zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.21 apply (zenon_L112_); trivial. % 0.99/1.21 apply (zenon_L115_); trivial. % 0.99/1.21 (* end of lemma zenon_L116_ *) % 0.99/1.21 assert (zenon_L117_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H92 zenon_H98 zenon_H8d zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_L113_); trivial. % 0.99/1.21 apply (zenon_L45_); trivial. % 0.99/1.21 apply (zenon_L114_); trivial. % 0.99/1.21 apply (zenon_L116_); trivial. % 0.99/1.21 (* end of lemma zenon_L117_ *) % 0.99/1.21 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H5e zenon_H7e zenon_H96 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H27 zenon_H8d zenon_H62 zenon_H98. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.21 apply (zenon_L46_); trivial. % 0.99/1.21 apply (zenon_L36_); trivial. % 0.99/1.21 apply (zenon_L117_); trivial. % 0.99/1.21 (* end of lemma zenon_L118_ *) % 0.99/1.21 assert (zenon_L119_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H178 zenon_H5e zenon_H7e zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H8d zenon_Hb7 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H13f zenon_H141 zenon_H6e zenon_H15 zenon_H165 zenon_H158 zenon_H154 zenon_H147 zenon_H16f zenon_H95. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.21 apply (zenon_L84_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.21 apply (zenon_L89_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.21 apply (zenon_L90_); trivial. % 0.99/1.21 apply (zenon_L111_); trivial. % 0.99/1.21 apply (zenon_L118_); trivial. % 0.99/1.21 (* end of lemma zenon_L119_ *) % 0.99/1.21 assert (zenon_L120_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c2_1 (a2484)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hdc zenon_Ha zenon_Hba zenon_Hbb zenon_H179. % 0.99/1.21 generalize (zenon_Hdc (a2484)). zenon_intro zenon_H17a. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_H9 | zenon_intro zenon_H17b ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H17c ]. % 0.99/1.21 exact (zenon_Hba zenon_Hc0). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H17d ]. % 0.99/1.21 exact (zenon_Hc2 zenon_Hbb). % 0.99/1.21 exact (zenon_H17d zenon_H179). % 0.99/1.21 (* end of lemma zenon_L120_ *) % 0.99/1.21 assert (zenon_L121_ : (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (c2_1 (a2484)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_Hbb zenon_Hbc zenon_H179. % 0.99/1.21 generalize (zenon_Hd4 (a2484)). zenon_intro zenon_H17e. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H17e); [ zenon_intro zenon_H9 | zenon_intro zenon_H17f ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H180 ]. % 0.99/1.21 exact (zenon_Hc2 zenon_Hbb). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H17d ]. % 0.99/1.21 exact (zenon_Hc1 zenon_Hbc). % 0.99/1.21 exact (zenon_H17d zenon_H179). % 0.99/1.21 (* end of lemma zenon_L121_ *) % 0.99/1.21 assert (zenon_L122_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H29 zenon_Ha zenon_Hd4 zenon_Hbb zenon_Hbc zenon_Hba. % 0.99/1.21 generalize (zenon_H29 (a2484)). zenon_intro zenon_H181. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H179 | zenon_intro zenon_H183 ]. % 0.99/1.21 apply (zenon_L121_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 0.99/1.21 exact (zenon_Hba zenon_Hc0). % 0.99/1.21 exact (zenon_Hc2 zenon_Hbb). % 0.99/1.21 (* end of lemma zenon_L122_ *) % 0.99/1.21 assert (zenon_L123_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (~(hskp20)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H29 zenon_Hd7. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.99/1.21 generalize (zenon_H29 (a2484)). zenon_intro zenon_H181. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H179 | zenon_intro zenon_H183 ]. % 0.99/1.21 apply (zenon_L120_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 0.99/1.21 exact (zenon_Hba zenon_Hc0). % 0.99/1.21 exact (zenon_Hc2 zenon_Hbb). % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 0.99/1.21 apply (zenon_L122_); trivial. % 0.99/1.21 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.21 (* end of lemma zenon_L123_ *) % 0.99/1.21 assert (zenon_L124_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H184 zenon_Ha zenon_H12b zenon_H12c zenon_H12d. % 0.99/1.21 generalize (zenon_H184 (a2455)). zenon_intro zenon_H185. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_H9 | zenon_intro zenon_H186 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H131 | zenon_intro zenon_H136 ]. % 0.99/1.21 exact (zenon_H12b zenon_H131). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H138 | zenon_intro zenon_H132 ]. % 0.99/1.21 exact (zenon_H138 zenon_H12c). % 0.99/1.21 exact (zenon_H132 zenon_H12d). % 0.99/1.21 (* end of lemma zenon_L124_ *) % 0.99/1.21 assert (zenon_L125_ : (~(hskp15)) -> (hskp15) -> False). % 0.99/1.21 do 0 intro. intros zenon_H187 zenon_H188. % 0.99/1.21 exact (zenon_H187 zenon_H188). % 0.99/1.21 (* end of lemma zenon_L125_ *) % 0.99/1.21 assert (zenon_L126_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13b zenon_H189 zenon_H187. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ]. % 0.99/1.21 apply (zenon_L124_); trivial. % 0.99/1.21 exact (zenon_H187 zenon_H188). % 0.99/1.21 (* end of lemma zenon_L126_ *) % 0.99/1.21 assert (zenon_L127_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_Hd9 zenon_Hd7 zenon_H33 zenon_H37 zenon_Hca. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L79_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ]. % 0.99/1.21 apply (zenon_L123_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ]. % 0.99/1.21 exact (zenon_H33 zenon_H34). % 0.99/1.21 exact (zenon_H35 zenon_H36). % 0.99/1.21 apply (zenon_L126_); trivial. % 0.99/1.21 (* end of lemma zenon_L127_ *) % 0.99/1.21 assert (zenon_L128_ : (forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H18a zenon_Ha zenon_He1 zenon_He2 zenon_Hf1. % 0.99/1.21 generalize (zenon_H18a (a2435)). zenon_intro zenon_H18b. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H9 | zenon_intro zenon_H18c ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_He7 | zenon_intro zenon_Hf4 ]. % 0.99/1.21 exact (zenon_He1 zenon_He7). % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He9 | zenon_intro zenon_Hf5 ]. % 0.99/1.21 exact (zenon_He2 zenon_He9). % 0.99/1.21 exact (zenon_Hf5 zenon_Hf1). % 0.99/1.21 (* end of lemma zenon_L128_ *) % 0.99/1.21 assert (zenon_L129_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp12)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H125 zenon_H18d zenon_Hf1 zenon_He2 zenon_He1 zenon_H59. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 0.99/1.21 apply (zenon_L128_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 0.99/1.21 apply (zenon_L76_); trivial. % 0.99/1.21 exact (zenon_H59 zenon_H5a). % 0.99/1.21 (* end of lemma zenon_L129_ *) % 0.99/1.21 assert (zenon_L130_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hb5 zenon_H35 zenon_H117. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_L75_); trivial. % 0.99/1.21 apply (zenon_L129_); trivial. % 0.99/1.21 (* end of lemma zenon_L130_ *) % 0.99/1.21 assert (zenon_L131_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c3_1 (a2410)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H18f zenon_Ha zenon_H190 zenon_H191 zenon_H192. % 0.99/1.21 generalize (zenon_H18f (a2410)). zenon_intro zenon_H193. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H9 | zenon_intro zenon_H194 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.99/1.21 exact (zenon_H190 zenon_H196). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.99/1.21 exact (zenon_H198 zenon_H191). % 0.99/1.21 exact (zenon_H197 zenon_H192). % 0.99/1.21 (* end of lemma zenon_L131_ *) % 0.99/1.21 assert (zenon_L132_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c1_1 (a2410)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H199 zenon_Ha zenon_H190 zenon_H18f zenon_H191. % 0.99/1.21 generalize (zenon_H199 (a2410)). zenon_intro zenon_H19a. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H9 | zenon_intro zenon_H19b ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H196 | zenon_intro zenon_H19c ]. % 0.99/1.21 exact (zenon_H190 zenon_H196). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H192 | zenon_intro zenon_H198 ]. % 0.99/1.21 apply (zenon_L131_); trivial. % 0.99/1.21 exact (zenon_H198 zenon_H191). % 0.99/1.21 (* end of lemma zenon_L132_ *) % 0.99/1.21 assert (zenon_L133_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H19d zenon_H191 zenon_H190 zenon_H199 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha zenon_H115. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ]. % 0.99/1.21 apply (zenon_L132_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ]. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 exact (zenon_H115 zenon_H116). % 0.99/1.21 (* end of lemma zenon_L133_ *) % 0.99/1.21 assert (zenon_L134_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp23)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H19f zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H115 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H190 zenon_H191 zenon_H19d zenon_H123. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 0.99/1.21 apply (zenon_L63_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 0.99/1.21 apply (zenon_L133_); trivial. % 0.99/1.21 exact (zenon_H123 zenon_H124). % 0.99/1.21 (* end of lemma zenon_L134_ *) % 0.99/1.21 assert (zenon_L135_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H123 zenon_H190 zenon_H191 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d zenon_Hf1 zenon_He2 zenon_He1 zenon_Ha zenon_Hed zenon_Hb1 zenon_Hef. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 0.99/1.21 apply (zenon_L134_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 0.99/1.21 exact (zenon_Hed zenon_Hee). % 0.99/1.21 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.21 apply (zenon_L129_); trivial. % 0.99/1.21 (* end of lemma zenon_L135_ *) % 0.99/1.21 assert (zenon_L136_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(hskp10)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H10c zenon_Hfc zenon_Hfb zenon_Ha zenon_H149 zenon_H7c. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 0.99/1.21 apply (zenon_L105_); trivial. % 0.99/1.21 exact (zenon_H7c zenon_H7d). % 0.99/1.21 (* end of lemma zenon_L136_ *) % 0.99/1.21 assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13b zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H33. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a4 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H184 | zenon_intro zenon_H34 ]. % 0.99/1.21 apply (zenon_L124_); trivial. % 0.99/1.21 exact (zenon_H33 zenon_H34). % 0.99/1.21 (* end of lemma zenon_L137_ *) % 0.99/1.21 assert (zenon_L138_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H27 zenon_H25 zenon_H23 zenon_Hc zenon_Hd zenon_He zenon_H1a1 zenon_H7c zenon_H154 zenon_H10e zenon_Hca. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L130_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.21 apply (zenon_L135_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.99/1.21 apply (zenon_L59_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.99/1.21 exact (zenon_H23 zenon_H24). % 0.99/1.21 exact (zenon_H25 zenon_H26). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_L136_); trivial. % 0.99/1.21 apply (zenon_L137_); trivial. % 0.99/1.21 (* end of lemma zenon_L138_ *) % 0.99/1.21 assert (zenon_L139_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H18f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 0.99/1.21 generalize (zenon_H18f (a2422)). zenon_intro zenon_H1a8. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a9 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.99/1.21 exact (zenon_H1a5 zenon_H1ab). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.99/1.21 exact (zenon_H1ad zenon_H1a6). % 0.99/1.21 exact (zenon_H1ac zenon_H1a7). % 0.99/1.21 (* end of lemma zenon_L139_ *) % 0.99/1.21 assert (zenon_L140_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha zenon_H115. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ]. % 0.99/1.21 apply (zenon_L139_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ]. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 exact (zenon_H115 zenon_H116). % 0.99/1.21 (* end of lemma zenon_L140_ *) % 0.99/1.21 assert (zenon_L141_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L79_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_L140_); trivial. % 0.99/1.21 apply (zenon_L78_); trivial. % 0.99/1.21 (* end of lemma zenon_L141_ *) % 0.99/1.21 assert (zenon_L142_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.21 apply (zenon_L141_); trivial. % 0.99/1.21 apply (zenon_L137_); trivial. % 0.99/1.21 (* end of lemma zenon_L142_ *) % 0.99/1.21 assert (zenon_L143_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ae zenon_H3c zenon_H3b zenon_H3a zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ]. % 0.99/1.21 apply (zenon_L17_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ]. % 0.99/1.21 apply (zenon_L139_); trivial. % 0.99/1.21 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.21 (* end of lemma zenon_L143_ *) % 0.99/1.21 assert (zenon_L144_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H119 zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 0.99/1.21 generalize (zenon_H119 (a2422)). zenon_intro zenon_H1b0. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b1 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1aa ]. % 0.99/1.21 generalize (zenon_H19 (a2422)). zenon_intro zenon_H1b3. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.99/1.21 exact (zenon_H1b2 zenon_H1b6). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ad ]. % 0.99/1.21 exact (zenon_H1a5 zenon_H1ab). % 0.99/1.21 exact (zenon_H1ad zenon_H1a6). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.99/1.21 exact (zenon_H1ad zenon_H1a6). % 0.99/1.21 exact (zenon_H1ac zenon_H1a7). % 0.99/1.21 (* end of lemma zenon_L144_ *) % 0.99/1.21 assert (zenon_L145_ : ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H18d zenon_Hf1 zenon_He2 zenon_He1 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H19 zenon_Ha zenon_H59. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 0.99/1.21 apply (zenon_L128_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 0.99/1.21 apply (zenon_L144_); trivial. % 0.99/1.21 exact (zenon_H59 zenon_H5a). % 0.99/1.21 (* end of lemma zenon_L145_ *) % 0.99/1.21 assert (zenon_L146_ : (~(hskp18)) -> (hskp18) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1b7 zenon_H1b8. % 0.99/1.21 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.21 (* end of lemma zenon_L146_ *) % 0.99/1.21 assert (zenon_L147_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H10d zenon_H1b9 zenon_H59 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H18d zenon_H145 zenon_H1b7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 0.99/1.21 apply (zenon_L145_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 0.99/1.21 exact (zenon_H145 zenon_H146). % 0.99/1.21 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.21 (* end of lemma zenon_L147_ *) % 0.99/1.21 assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H45 zenon_H111 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.21 apply (zenon_L143_); trivial. % 0.99/1.21 apply (zenon_L147_); trivial. % 0.99/1.21 (* end of lemma zenon_L148_ *) % 0.99/1.21 assert (zenon_L149_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1bb zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be. % 0.99/1.21 generalize (zenon_H1bb (a2428)). zenon_intro zenon_H1bf. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c0 ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c1 ]. % 0.99/1.21 exact (zenon_H1bc zenon_H1c2). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 0.99/1.21 exact (zenon_H1bd zenon_H1c4). % 0.99/1.21 exact (zenon_H1be zenon_H1c3). % 0.99/1.21 (* end of lemma zenon_L149_ *) % 0.99/1.21 assert (zenon_L150_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp14)) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1c5 zenon_H1c6 zenon_Hc3 zenon_H43. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c9 ]. % 0.99/1.21 apply (zenon_L149_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H44 ]. % 0.99/1.21 exact (zenon_Hc3 zenon_Hc4). % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L150_ *) % 0.99/1.21 assert (zenon_L151_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1ae zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_L142_); trivial. % 0.99/1.21 apply (zenon_L148_); trivial. % 0.99/1.21 apply (zenon_L150_); trivial. % 0.99/1.21 (* end of lemma zenon_L151_ *) % 0.99/1.21 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(hskp20)) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H125 zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_Hd7 zenon_Hbb zenon_Hbc zenon_Hba zenon_Hd9. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 0.99/1.21 apply (zenon_L99_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 0.99/1.21 apply (zenon_L123_); trivial. % 0.99/1.21 apply (zenon_L76_); trivial. % 0.99/1.21 (* end of lemma zenon_L152_ *) % 0.99/1.21 assert (zenon_L153_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_H12a zenon_H1cb zenon_Hd7 zenon_Hd9 zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1 zenon_H5b zenon_Hb7. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_L140_); trivial. % 0.99/1.21 apply (zenon_L152_); trivial. % 0.99/1.21 (* end of lemma zenon_L153_ *) % 0.99/1.21 assert (zenon_L154_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.21 apply (zenon_L140_); trivial. % 0.99/1.21 apply (zenon_L129_); trivial. % 0.99/1.21 (* end of lemma zenon_L154_ *) % 0.99/1.21 assert (zenon_L155_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H10d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.21 apply (zenon_L130_); trivial. % 0.99/1.21 apply (zenon_L154_); trivial. % 0.99/1.21 (* end of lemma zenon_L155_ *) % 0.99/1.21 assert (zenon_L156_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H111 zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H159 zenon_H15a zenon_H15b zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.21 apply (zenon_L153_); trivial. % 0.99/1.21 apply (zenon_L155_); trivial. % 0.99/1.21 (* end of lemma zenon_L156_ *) % 0.99/1.21 assert (zenon_L157_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp20)) -> (ndr1_0) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H5e zenon_Hd7 zenon_Ha zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_H59 zenon_H5b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ]. % 0.99/1.21 apply (zenon_L56_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ]. % 0.99/1.21 exact (zenon_H59 zenon_H5a). % 0.99/1.21 exact (zenon_H5b zenon_H5c). % 0.99/1.21 (* end of lemma zenon_L157_ *) % 0.99/1.21 assert (zenon_L158_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H96 zenon_H7e zenon_H62 zenon_H1cd zenon_H165 zenon_H1cb zenon_H1 zenon_Hb7 zenon_H1b9 zenon_H1ae zenon_H43 zenon_H1c6 zenon_H1ca zenon_H4b zenon_H141 zenon_H13f zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_He zenon_Hd zenon_Hc zenon_H27 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H18d zenon_H1a3 zenon_H111 zenon_H4e zenon_H5e zenon_H13e zenon_Haf zenon_Hb3 zenon_H97. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.21 apply (zenon_L127_); trivial. % 0.99/1.21 apply (zenon_L138_); trivial. % 0.99/1.21 apply (zenon_L86_); trivial. % 0.99/1.21 apply (zenon_L87_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.21 apply (zenon_L151_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_L156_); trivial. % 0.99/1.21 apply (zenon_L86_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.21 apply (zenon_L157_); trivial. % 0.99/1.21 apply (zenon_L138_); trivial. % 0.99/1.21 apply (zenon_L86_); trivial. % 0.99/1.21 apply (zenon_L87_); trivial. % 0.99/1.21 apply (zenon_L25_); trivial. % 0.99/1.21 apply (zenon_L45_); trivial. % 0.99/1.21 apply (zenon_L114_); trivial. % 0.99/1.21 (* end of lemma zenon_L158_ *) % 0.99/1.21 assert (zenon_L159_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_Ha5 zenon_Ha zenon_Hfb zenon_Hfc. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 0.99/1.21 apply (zenon_L33_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 apply (zenon_L66_); trivial. % 0.99/1.21 (* end of lemma zenon_L159_ *) % 0.99/1.21 assert (zenon_L160_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_Hfc zenon_Hfb zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L63_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_L159_); trivial. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L160_ *) % 0.99/1.21 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H109 zenon_H27 zenon_H43 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_He1 zenon_He2 zenon_Hf1 zenon_H107 zenon_H23 zenon_H25. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.99/1.21 apply (zenon_L160_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.99/1.21 exact (zenon_H23 zenon_H24). % 0.99/1.21 exact (zenon_H25 zenon_H26). % 0.99/1.21 (* end of lemma zenon_L161_ *) % 0.99/1.21 assert (zenon_L162_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp1)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H12d zenon_H12c zenon_H12b zenon_Ha zenon_H39 zenon_H43. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.21 apply (zenon_L63_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.21 apply (zenon_L82_); trivial. % 0.99/1.21 exact (zenon_H43 zenon_H44). % 0.99/1.21 (* end of lemma zenon_L162_ *) % 0.99/1.21 assert (zenon_L163_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H13b zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H1b7 zenon_H145 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H43 zenon_H1b9 zenon_H13f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 0.99/1.21 apply (zenon_L6_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 0.99/1.21 apply (zenon_L162_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 0.99/1.21 exact (zenon_H145 zenon_H146). % 0.99/1.21 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.21 exact (zenon_H13f zenon_H140). % 0.99/1.21 (* end of lemma zenon_L163_ *) % 0.99/1.21 assert (zenon_L164_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L48_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.22 apply (zenon_L135_); trivial. % 0.99/1.22 apply (zenon_L161_); trivial. % 0.99/1.22 apply (zenon_L163_); trivial. % 0.99/1.22 (* end of lemma zenon_L164_ *) % 0.99/1.22 assert (zenon_L165_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2432))) -> (~(c2_1 (a2432))) -> (c1_1 (a2432)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H19 zenon_Ha zenon_H3a zenon_H1d1 zenon_H3b. % 0.99/1.22 generalize (zenon_H19 (a2432)). zenon_intro zenon_H1d2. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H40 | zenon_intro zenon_H1d4 ]. % 0.99/1.22 exact (zenon_H3a zenon_H40). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H42 ]. % 0.99/1.22 exact (zenon_H1d1 zenon_H1d5). % 0.99/1.22 exact (zenon_H42 zenon_H3b). % 0.99/1.22 (* end of lemma zenon_L165_ *) % 0.99/1.22 assert (zenon_L166_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (ndr1_0) -> False). % 0.99/1.22 do 0 intro. intros zenon_H189 zenon_H187 zenon_H3c zenon_H3b zenon_H19 zenon_H3a zenon_Ha. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ]. % 0.99/1.22 generalize (zenon_H184 (a2432)). zenon_intro zenon_H1d6. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1d6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d7 ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H40 | zenon_intro zenon_H1d8 ]. % 0.99/1.22 exact (zenon_H3a zenon_H40). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H41 ]. % 0.99/1.22 apply (zenon_L165_); trivial. % 0.99/1.22 exact (zenon_H41 zenon_H3c). % 0.99/1.22 exact (zenon_H187 zenon_H188). % 0.99/1.22 (* end of lemma zenon_L166_ *) % 0.99/1.22 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H45 zenon_H1b9 zenon_H187 zenon_H189 zenon_H145 zenon_H1b7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 0.99/1.22 apply (zenon_L166_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 0.99/1.22 exact (zenon_H145 zenon_H146). % 0.99/1.22 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.22 (* end of lemma zenon_L167_ *) % 0.99/1.22 assert (zenon_L168_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> (~(hskp1)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1c5 zenon_H1d9 zenon_H25 zenon_H43. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1da ]. % 0.99/1.22 apply (zenon_L149_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H26 | zenon_intro zenon_H44 ]. % 0.99/1.22 exact (zenon_H25 zenon_H26). % 0.99/1.22 exact (zenon_H43 zenon_H44). % 0.99/1.22 (* end of lemma zenon_L168_ *) % 0.99/1.22 assert (zenon_L169_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1db zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H143 zenon_H5b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1dc ]. % 0.99/1.22 apply (zenon_L99_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_H5c ]. % 0.99/1.22 exact (zenon_H143 zenon_H144). % 0.99/1.22 exact (zenon_H5b zenon_H5c). % 0.99/1.22 (* end of lemma zenon_L169_ *) % 0.99/1.22 assert (zenon_L170_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp0)) -> (~(hskp29)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H154 zenon_Hb1 zenon_Hed zenon_He1 zenon_He2 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H14a zenon_H14b zenon_H14c. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 0.99/1.22 apply (zenon_L61_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 0.99/1.22 apply (zenon_L6_); trivial. % 0.99/1.22 apply (zenon_L95_); trivial. % 0.99/1.22 (* end of lemma zenon_L170_ *) % 0.99/1.22 assert (zenon_L171_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_Hf1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H14a zenon_H14b zenon_H14c zenon_H154. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.22 apply (zenon_L170_); trivial. % 0.99/1.22 apply (zenon_L161_); trivial. % 0.99/1.22 (* end of lemma zenon_L171_ *) % 0.99/1.22 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H153 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_Hf1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_H5b zenon_Hb7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L48_); trivial. % 0.99/1.22 apply (zenon_L171_); trivial. % 0.99/1.22 (* end of lemma zenon_L172_ *) % 0.99/1.22 assert (zenon_L173_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H10d zenon_H158 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 0.99/1.22 apply (zenon_L169_); trivial. % 0.99/1.22 apply (zenon_L172_); trivial. % 0.99/1.22 (* end of lemma zenon_L173_ *) % 0.99/1.22 assert (zenon_L174_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(hskp20)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hef zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Hd7 zenon_H39 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_Hed zenon_Hb1. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 0.99/1.22 apply (zenon_L82_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 0.99/1.22 apply (zenon_L123_); trivial. % 0.99/1.22 apply (zenon_L144_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 0.99/1.22 exact (zenon_Hed zenon_Hee). % 0.99/1.22 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.22 (* end of lemma zenon_L174_ *) % 0.99/1.22 assert (zenon_L175_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp20)) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp4)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hed zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_Hd7 zenon_Hbb zenon_Hbc zenon_Hba zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hef zenon_H13f. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 0.99/1.22 apply (zenon_L6_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 0.99/1.22 apply (zenon_L174_); trivial. % 0.99/1.22 exact (zenon_H13f zenon_H140). % 0.99/1.22 (* end of lemma zenon_L175_ *) % 0.99/1.22 assert (zenon_L176_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1dd zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 0.99/1.22 generalize (zenon_H1dd (a2409)). zenon_intro zenon_H1de. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H9 | zenon_intro zenon_H1df ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H174 | zenon_intro zenon_Hff ]. % 0.99/1.22 exact (zenon_H174 zenon_H10c). % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.99/1.22 exact (zenon_H102 zenon_Hfb). % 0.99/1.22 exact (zenon_H101 zenon_Hfc). % 0.99/1.22 (* end of lemma zenon_L176_ *) % 0.99/1.22 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp20)) -> (~(hskp18)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H109 zenon_H1e0 zenon_Hd7 zenon_H1b7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e1 ]. % 0.99/1.22 apply (zenon_L176_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1b8 ]. % 0.99/1.22 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.22 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.22 (* end of lemma zenon_L177_ *) % 0.99/1.22 assert (zenon_L178_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.22 apply (zenon_L141_); trivial. % 0.99/1.22 apply (zenon_L163_); trivial. % 0.99/1.22 (* end of lemma zenon_L178_ *) % 0.99/1.22 assert (zenon_L179_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H145 zenon_H1b9 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H4b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.22 apply (zenon_L141_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L48_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.22 apply (zenon_L175_); trivial. % 0.99/1.22 apply (zenon_L177_); trivial. % 0.99/1.22 apply (zenon_L178_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 apply (zenon_L150_); trivial. % 0.99/1.22 (* end of lemma zenon_L179_ *) % 0.99/1.22 assert (zenon_L180_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L153_); trivial. % 0.99/1.22 apply (zenon_L173_); trivial. % 0.99/1.22 (* end of lemma zenon_L180_ *) % 0.99/1.22 assert (zenon_L181_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H165 zenon_H158 zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H1db zenon_H4b zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_L179_); trivial. % 0.99/1.22 apply (zenon_L180_); trivial. % 0.99/1.22 (* end of lemma zenon_L181_ *) % 0.99/1.22 assert (zenon_L182_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1cd zenon_H1c6 zenon_H1cb zenon_H1e0 zenon_H165 zenon_H1db zenon_H154 zenon_H158 zenon_H4b zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H59 zenon_H18d zenon_H1 zenon_H5b zenon_Hb7 zenon_Hc zenon_Hd zenon_He zenon_H1b9 zenon_H13f zenon_H141 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H4e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L127_); trivial. % 0.99/1.22 apply (zenon_L164_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L127_); trivial. % 0.99/1.22 apply (zenon_L173_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 apply (zenon_L87_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_L181_); trivial. % 0.99/1.22 apply (zenon_L87_); trivial. % 0.99/1.22 (* end of lemma zenon_L182_ *) % 0.99/1.22 assert (zenon_L183_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H158 zenon_H111. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L57_); trivial. % 0.99/1.22 apply (zenon_L173_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 (* end of lemma zenon_L183_ *) % 0.99/1.22 assert (zenon_L184_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H4e zenon_H33 zenon_H37 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H4b zenon_H158 zenon_H154 zenon_H1db zenon_H165. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L57_); trivial. % 0.99/1.22 apply (zenon_L164_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_L183_); trivial. % 0.99/1.22 apply (zenon_L87_); trivial. % 0.99/1.22 (* end of lemma zenon_L184_ *) % 0.99/1.22 assert (zenon_L185_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H5e zenon_H5b zenon_H59 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L157_); trivial. % 0.99/1.22 apply (zenon_L155_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 (* end of lemma zenon_L185_ *) % 0.99/1.22 assert (zenon_L186_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H72 zenon_Ha zenon_H65 zenon_H184 zenon_H64 zenon_H66. % 0.99/1.22 generalize (zenon_H72 (a2417)). zenon_intro zenon_H1e2. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e3 ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H6c | zenon_intro zenon_H1e4 ]. % 0.99/1.22 exact (zenon_H65 zenon_H6c). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hae | zenon_intro zenon_H6b ]. % 0.99/1.22 generalize (zenon_H184 (a2417)). zenon_intro zenon_H1e5. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H6a | zenon_intro zenon_Ha9 ]. % 0.99/1.22 exact (zenon_H64 zenon_H6a). % 0.99/1.22 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Haa | zenon_intro zenon_H6b ]. % 0.99/1.22 exact (zenon_Haa zenon_Hae). % 0.99/1.22 exact (zenon_H6b zenon_H66). % 0.99/1.22 exact (zenon_H6b zenon_H66). % 0.99/1.22 (* end of lemma zenon_L186_ *) % 0.99/1.22 assert (zenon_L187_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H189 zenon_H187 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_Ha6 zenon_H43 zenon_H107. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.22 apply (zenon_L186_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.22 apply (zenon_L42_); trivial. % 0.99/1.22 exact (zenon_H43 zenon_H44). % 0.99/1.22 exact (zenon_H187 zenon_H188). % 0.99/1.22 (* end of lemma zenon_L187_ *) % 0.99/1.22 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H109 zenon_H139 zenon_H107 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 0.99/1.22 apply (zenon_L187_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.22 apply (zenon_L159_); trivial. % 0.99/1.22 exact (zenon_H43 zenon_H44). % 0.99/1.22 (* end of lemma zenon_L188_ *) % 0.99/1.22 assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.22 apply (zenon_L62_); trivial. % 0.99/1.22 apply (zenon_L188_); trivial. % 0.99/1.22 (* end of lemma zenon_L189_ *) % 0.99/1.22 assert (zenon_L190_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L127_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L79_); trivial. % 0.99/1.22 apply (zenon_L189_); trivial. % 0.99/1.22 apply (zenon_L126_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 (* end of lemma zenon_L190_ *) % 0.99/1.22 assert (zenon_L191_ : (forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1e7 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191. % 0.99/1.22 generalize (zenon_H1e7 (a2410)). zenon_intro zenon_H1e9. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H196 | zenon_intro zenon_H1eb ]. % 0.99/1.22 exact (zenon_H190 zenon_H196). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1ec | zenon_intro zenon_H198 ]. % 0.99/1.22 exact (zenon_H1ec zenon_H1e8). % 0.99/1.22 exact (zenon_H198 zenon_H191). % 0.99/1.22 (* end of lemma zenon_L191_ *) % 0.99/1.22 assert (zenon_L192_ : ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp25)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H35 zenon_H1ee. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 0.99/1.22 apply (zenon_L191_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H36 | zenon_intro zenon_H1f0 ]. % 0.99/1.22 exact (zenon_H35 zenon_H36). % 0.99/1.22 exact (zenon_H1ee zenon_H1f0). % 0.99/1.22 (* end of lemma zenon_L192_ *) % 0.99/1.22 assert (zenon_L193_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a2478))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (c2_1 (a2478)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H4f zenon_Ha zenon_H1f1 zenon_Hb zenon_H1f2. % 0.99/1.22 generalize (zenon_H4f (a2478)). zenon_intro zenon_H1f3. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f4 ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.99/1.22 exact (zenon_H1f1 zenon_H1f6). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.99/1.22 generalize (zenon_Hb (a2478)). zenon_intro zenon_H1f9. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ]. % 0.99/1.22 exact (zenon_H9 zenon_Ha). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1fb ]. % 0.99/1.22 exact (zenon_H1f1 zenon_H1f6). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1f7 ]. % 0.99/1.22 exact (zenon_H1f8 zenon_H1fc). % 0.99/1.22 exact (zenon_H1f7 zenon_H1f2). % 0.99/1.22 exact (zenon_H1f7 zenon_H1f2). % 0.99/1.22 (* end of lemma zenon_L193_ *) % 0.99/1.22 assert (zenon_L194_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_H35. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 0.99/1.22 apply (zenon_L193_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 0.99/1.22 apply (zenon_L33_); trivial. % 0.99/1.22 exact (zenon_H35 zenon_H36). % 0.99/1.22 (* end of lemma zenon_L194_ *) % 0.99/1.22 assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1fd zenon_H154 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H14a zenon_H14b zenon_H14c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 0.99/1.22 apply (zenon_L187_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 0.99/1.22 apply (zenon_L194_); trivial. % 0.99/1.22 apply (zenon_L95_); trivial. % 0.99/1.22 (* end of lemma zenon_L195_ *) % 0.99/1.22 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H153 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 0.99/1.22 apply (zenon_L192_); trivial. % 0.99/1.22 apply (zenon_L195_); trivial. % 0.99/1.22 (* end of lemma zenon_L196_ *) % 0.99/1.22 assert (zenon_L197_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_Ha zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 0.99/1.22 apply (zenon_L169_); trivial. % 0.99/1.22 apply (zenon_L196_); trivial. % 0.99/1.22 (* end of lemma zenon_L197_ *) % 0.99/1.22 assert (zenon_L198_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H189 zenon_H187 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_L197_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 (* end of lemma zenon_L198_ *) % 0.99/1.22 assert (zenon_L199_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H8d zenon_H154 zenon_H201 zenon_H158 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_Hd9 zenon_H33 zenon_H37 zenon_Hca zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_L190_); trivial. % 0.99/1.22 apply (zenon_L198_); trivial. % 0.99/1.22 (* end of lemma zenon_L199_ *) % 0.99/1.22 assert (zenon_L200_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1cb zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 0.99/1.22 apply (zenon_L42_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 0.99/1.22 apply (zenon_L13_); trivial. % 0.99/1.22 apply (zenon_L76_); trivial. % 0.99/1.22 (* end of lemma zenon_L200_ *) % 0.99/1.22 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H125 zenon_Hb3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H66 zenon_H65 zenon_H64 zenon_Hb1. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ]. % 0.99/1.22 apply (zenon_L200_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ]. % 0.99/1.22 apply (zenon_L27_); trivial. % 0.99/1.22 exact (zenon_Hb1 zenon_Hb2). % 0.99/1.22 (* end of lemma zenon_L201_ *) % 0.99/1.22 assert (zenon_L202_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Hb5 zenon_H35 zenon_H117. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.22 apply (zenon_L75_); trivial. % 0.99/1.22 apply (zenon_L201_); trivial. % 0.99/1.22 (* end of lemma zenon_L202_ *) % 0.99/1.22 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 0.99/1.22 apply (zenon_L140_); trivial. % 0.99/1.22 apply (zenon_L201_); trivial. % 0.99/1.22 (* end of lemma zenon_L203_ *) % 0.99/1.22 assert (zenon_L204_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L202_); trivial. % 0.99/1.22 apply (zenon_L203_); trivial. % 0.99/1.22 (* end of lemma zenon_L204_ *) % 0.99/1.22 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_L204_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 (* end of lemma zenon_L205_ *) % 0.99/1.22 assert (zenon_L206_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ce zenon_H4e zenon_Hb3 zenon_H65 zenon_H64 zenon_H66 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_L181_); trivial. % 0.99/1.22 apply (zenon_L205_); trivial. % 0.99/1.22 (* end of lemma zenon_L206_ *) % 0.99/1.22 assert (zenon_L207_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1c6 zenon_H19d zenon_Hb7 zenon_H1 zenon_H1cb zenon_H1e0 zenon_H27 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.22 apply (zenon_L199_); trivial. % 0.99/1.22 apply (zenon_L206_); trivial. % 0.99/1.22 (* end of lemma zenon_L207_ *) % 0.99/1.22 assert (zenon_L208_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H201 zenon_H158 zenon_H4b zenon_H1b9 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_H1d9 zenon_H1ca. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_L71_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_L198_); trivial. % 0.99/1.22 (* end of lemma zenon_L208_ *) % 0.99/1.22 assert (zenon_L209_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H4e zenon_H33 zenon_H37 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_L208_); trivial. % 0.99/1.22 apply (zenon_L87_); trivial. % 0.99/1.22 (* end of lemma zenon_L209_ *) % 0.99/1.22 assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_L71_); trivial. % 0.99/1.22 apply (zenon_L86_); trivial. % 0.99/1.22 apply (zenon_L205_); trivial. % 0.99/1.22 (* end of lemma zenon_L210_ *) % 0.99/1.22 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H109 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.22 apply (zenon_L29_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.22 apply (zenon_L159_); trivial. % 0.99/1.22 exact (zenon_H43 zenon_H44). % 0.99/1.22 (* end of lemma zenon_L211_ *) % 0.99/1.22 assert (zenon_L212_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f zenon_H117 zenon_H35 zenon_He1 zenon_He2 zenon_Hf1 zenon_H59 zenon_H18d zenon_H12a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.22 apply (zenon_L130_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 0.99/1.22 apply (zenon_L135_); trivial. % 0.99/1.22 apply (zenon_L211_); trivial. % 0.99/1.22 (* end of lemma zenon_L212_ *) % 0.99/1.22 assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H10d zenon_H13a zenon_H141 zenon_H13f zenon_H145 zenon_H1b7 zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H73 zenon_H74 zenon_H75 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H10e zenon_Hca. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.22 apply (zenon_L212_); trivial. % 0.99/1.22 apply (zenon_L163_); trivial. % 0.99/1.22 (* end of lemma zenon_L213_ *) % 0.99/1.22 assert (zenon_L214_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp1)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H162 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H43. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.22 apply (zenon_L29_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.22 apply (zenon_L99_); trivial. % 0.99/1.22 exact (zenon_H43 zenon_H44). % 0.99/1.22 (* end of lemma zenon_L214_ *) % 0.99/1.22 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_L151_); trivial. % 0.99/1.22 apply (zenon_L214_); trivial. % 0.99/1.22 (* end of lemma zenon_L215_ *) % 0.99/1.22 assert (zenon_L216_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1cd zenon_H1ae zenon_H1a3 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H73 zenon_H74 zenon_H75 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H4b zenon_H165. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L127_); trivial. % 0.99/1.22 apply (zenon_L213_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_L214_); trivial. % 0.99/1.22 apply (zenon_L215_); trivial. % 0.99/1.22 (* end of lemma zenon_L216_ *) % 0.99/1.22 assert (zenon_L217_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H165 zenon_H4b zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H1b9 zenon_H13f zenon_H141 zenon_H13a zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L57_); trivial. % 0.99/1.22 apply (zenon_L213_); trivial. % 0.99/1.22 apply (zenon_L167_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_L214_); trivial. % 0.99/1.22 (* end of lemma zenon_L217_ *) % 0.99/1.22 assert (zenon_L218_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.22 apply (zenon_L57_); trivial. % 0.99/1.22 apply (zenon_L155_); trivial. % 0.99/1.22 apply (zenon_L148_); trivial. % 0.99/1.22 (* end of lemma zenon_L218_ *) % 0.99/1.22 assert (zenon_L219_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.22 apply (zenon_L218_); trivial. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 (* end of lemma zenon_L219_ *) % 0.99/1.22 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L219_); trivial. % 0.99/1.23 apply (zenon_L214_); trivial. % 0.99/1.23 (* end of lemma zenon_L220_ *) % 0.99/1.23 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H4b. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.23 apply (zenon_L141_); trivial. % 0.99/1.23 apply (zenon_L94_); trivial. % 0.99/1.23 apply (zenon_L96_); trivial. % 0.99/1.23 apply (zenon_L98_); trivial. % 0.99/1.23 apply (zenon_L100_); trivial. % 0.99/1.23 (* end of lemma zenon_L221_ *) % 0.99/1.23 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H5d zenon_H165 zenon_H139 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 0.99/1.23 apply (zenon_L34_); trivial. % 0.99/1.23 apply (zenon_L98_); trivial. % 0.99/1.23 apply (zenon_L100_); trivial. % 0.99/1.23 (* end of lemma zenon_L222_ *) % 0.99/1.23 assert (zenon_L223_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H19d zenon_H147 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hb3 zenon_Hb1 zenon_Hef zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H75 zenon_H74 zenon_H73 zenon_H165 zenon_H16f zenon_H8d zenon_H13e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L190_); trivial. % 0.99/1.23 apply (zenon_L100_); trivial. % 0.99/1.23 apply (zenon_L221_); trivial. % 0.99/1.23 apply (zenon_L109_); trivial. % 0.99/1.23 apply (zenon_L222_); trivial. % 0.99/1.23 (* end of lemma zenon_L223_ *) % 0.99/1.23 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H8d zenon_H98. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.23 apply (zenon_L26_); trivial. % 0.99/1.23 apply (zenon_L45_); trivial. % 0.99/1.23 apply (zenon_L32_); trivial. % 0.99/1.23 apply (zenon_L36_); trivial. % 0.99/1.23 apply (zenon_L117_); trivial. % 0.99/1.23 (* end of lemma zenon_L224_ *) % 0.99/1.23 assert (zenon_L225_ : (~(hskp2)) -> (hskp2) -> False). % 0.99/1.23 do 0 intro. intros zenon_H202 zenon_H203. % 0.99/1.23 exact (zenon_H202 zenon_H203). % 0.99/1.23 (* end of lemma zenon_L225_ *) % 0.99/1.23 assert (zenon_L226_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp2))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp2)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H204 zenon_H205 zenon_H191 zenon_H1e8 zenon_H190 zenon_H202. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H99 | zenon_intro zenon_H208 ]. % 0.99/1.23 apply (zenon_L39_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H203 ]. % 0.99/1.23 apply (zenon_L191_); trivial. % 0.99/1.23 exact (zenon_H202 zenon_H203). % 0.99/1.23 (* end of lemma zenon_L226_ *) % 0.99/1.23 assert (zenon_L227_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp8)) -> (~(hskp7)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H95 zenon_H17 zenon_H15 zenon_H1 zenon_H5 zenon_H7. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.23 apply (zenon_L4_); trivial. % 0.99/1.23 apply (zenon_L37_); trivial. % 0.99/1.23 (* end of lemma zenon_L227_ *) % 0.99/1.23 assert (zenon_L228_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H145 zenon_H1b7. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 0.99/1.23 apply (zenon_L9_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 0.99/1.23 exact (zenon_H145 zenon_H146). % 0.99/1.23 exact (zenon_H1b7 zenon_H1b8). % 0.99/1.23 (* end of lemma zenon_L228_ *) % 0.99/1.23 assert (zenon_L229_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.23 apply (zenon_L228_); trivial. % 0.99/1.23 apply (zenon_L168_); trivial. % 0.99/1.23 (* end of lemma zenon_L229_ *) % 0.99/1.23 assert (zenon_L230_ : (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H119 zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b. % 0.99/1.23 generalize (zenon_H119 (a2408)). zenon_intro zenon_H20c. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H9 | zenon_intro zenon_H20d ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ]. % 0.99/1.23 exact (zenon_H20f zenon_H209). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.99/1.23 generalize (zenon_H72 (a2408)). zenon_intro zenon_H212. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H9 | zenon_intro zenon_H213 ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H215 | zenon_intro zenon_H214 ]. % 0.99/1.23 exact (zenon_H211 zenon_H215). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H210 ]. % 0.99/1.23 exact (zenon_H20a zenon_H216). % 0.99/1.23 exact (zenon_H210 zenon_H20b). % 0.99/1.23 exact (zenon_H210 zenon_H20b). % 0.99/1.23 (* end of lemma zenon_L230_ *) % 0.99/1.23 assert (zenon_L231_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 0.99/1.23 apply (zenon_L99_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 0.99/1.23 apply (zenon_L13_); trivial. % 0.99/1.23 apply (zenon_L230_); trivial. % 0.99/1.23 (* end of lemma zenon_L231_ *) % 0.99/1.23 assert (zenon_L232_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H162 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H43. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 0.99/1.23 apply (zenon_L231_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 0.99/1.23 apply (zenon_L99_); trivial. % 0.99/1.23 exact (zenon_H43 zenon_H44). % 0.99/1.23 (* end of lemma zenon_L232_ *) % 0.99/1.23 assert (zenon_L233_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.23 apply (zenon_L12_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L229_); trivial. % 0.99/1.23 apply (zenon_L232_); trivial. % 0.99/1.23 (* end of lemma zenon_L233_ *) % 0.99/1.23 assert (zenon_L234_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.23 apply (zenon_L233_); trivial. % 0.99/1.23 apply (zenon_L25_); trivial. % 0.99/1.23 (* end of lemma zenon_L234_ *) % 0.99/1.23 assert (zenon_L235_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 0.99/1.23 apply (zenon_L234_); trivial. % 0.99/1.23 apply (zenon_L28_); trivial. % 0.99/1.23 (* end of lemma zenon_L235_ *) % 0.99/1.23 assert (zenon_L236_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L229_); trivial. % 0.99/1.23 apply (zenon_L214_); trivial. % 0.99/1.23 (* end of lemma zenon_L236_ *) % 0.99/1.23 assert (zenon_L237_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_Hc3 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.23 apply (zenon_L228_); trivial. % 0.99/1.23 apply (zenon_L150_); trivial. % 0.99/1.23 (* end of lemma zenon_L237_ *) % 0.99/1.23 assert (zenon_L238_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 0.99/1.23 apply (zenon_L31_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L237_); trivial. % 0.99/1.23 apply (zenon_L232_); trivial. % 0.99/1.23 (* end of lemma zenon_L238_ *) % 0.99/1.23 assert (zenon_L239_ : ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp23)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H217 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H15 zenon_H123. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.99/1.23 generalize (zenon_H219 (a2420)). zenon_intro zenon_H21a. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H9 | zenon_intro zenon_H21b ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_He0 | zenon_intro zenon_Hd0 ]. % 0.99/1.23 exact (zenon_Hda zenon_He0). % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.99/1.23 exact (zenon_Hd3 zenon_Hcc). % 0.99/1.23 exact (zenon_Hd2 zenon_Hcd). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H16 | zenon_intro zenon_H124 ]. % 0.99/1.23 exact (zenon_H15 zenon_H16). % 0.99/1.23 exact (zenon_H123 zenon_H124). % 0.99/1.23 (* end of lemma zenon_L239_ *) % 0.99/1.23 assert (zenon_L240_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_H15 zenon_H217. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 0.99/1.23 apply (zenon_L239_); trivial. % 0.99/1.23 apply (zenon_L126_); trivial. % 0.99/1.23 (* end of lemma zenon_L240_ *) % 0.99/1.23 assert (zenon_L241_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1c5 zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 0.99/1.23 apply (zenon_L149_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 0.99/1.23 apply (zenon_L22_); trivial. % 0.99/1.23 apply (zenon_L139_); trivial. % 0.99/1.23 (* end of lemma zenon_L241_ *) % 0.99/1.23 assert (zenon_L242_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 0.99/1.23 apply (zenon_L228_); trivial. % 0.99/1.23 apply (zenon_L241_); trivial. % 0.99/1.23 (* end of lemma zenon_L242_ *) % 0.99/1.23 assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 0.99/1.23 apply (zenon_L242_); trivial. % 0.99/1.23 apply (zenon_L214_); trivial. % 0.99/1.23 (* end of lemma zenon_L243_ *) % 0.99/1.23 assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 0.99/1.23 apply (zenon_L240_); trivial. % 0.99/1.23 apply (zenon_L243_); trivial. % 0.99/1.23 (* end of lemma zenon_L244_ *) % 0.99/1.23 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H5d zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 0.99/1.23 apply (zenon_L238_); trivial. % 0.99/1.23 apply (zenon_L244_); trivial. % 0.99/1.23 (* end of lemma zenon_L245_ *) % 0.99/1.23 assert (zenon_L246_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 0.99/1.23 apply (zenon_L235_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.23 apply (zenon_L236_); trivial. % 0.99/1.23 apply (zenon_L245_); trivial. % 0.99/1.23 (* end of lemma zenon_L246_ *) % 0.99/1.23 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H8f zenon_H62 zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 0.99/1.23 apply (zenon_L233_); trivial. % 0.99/1.23 apply (zenon_L35_); trivial. % 0.99/1.23 (* end of lemma zenon_L247_ *) % 0.99/1.23 assert (zenon_L248_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H98 zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H1cd zenon_H13e zenon_H96. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 0.99/1.23 apply (zenon_L246_); trivial. % 0.99/1.23 apply (zenon_L247_); trivial. % 0.99/1.23 (* end of lemma zenon_L248_ *) % 0.99/1.23 assert (zenon_L249_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H178 zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 0.99/1.23 apply (zenon_L227_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 0.99/1.23 apply (zenon_L248_); trivial. % 0.99/1.23 apply (zenon_L37_); trivial. % 0.99/1.23 (* end of lemma zenon_L249_ *) % 0.99/1.23 assert (zenon_L250_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2411))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8))))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hdc zenon_Ha zenon_H9b zenon_H21e zenon_H9a zenon_H9c. % 0.99/1.23 generalize (zenon_Hdc (a2411)). zenon_intro zenon_H21f. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H9 | zenon_intro zenon_H220 ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H221 ]. % 0.99/1.23 exact (zenon_H9b zenon_Ha2). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H222 | zenon_intro zenon_Ha1 ]. % 0.99/1.23 generalize (zenon_H21e (a2411)). zenon_intro zenon_H223. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_H9 | zenon_intro zenon_H224 ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.99/1.23 exact (zenon_H222 zenon_H226). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha2 ]. % 0.99/1.23 exact (zenon_H9a zenon_Ha0). % 0.99/1.23 exact (zenon_H9b zenon_Ha2). % 0.99/1.23 exact (zenon_Ha1 zenon_H9c). % 0.99/1.23 (* end of lemma zenon_L250_ *) % 0.99/1.23 assert (zenon_L251_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8))))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hd9 zenon_H9c zenon_H9a zenon_H21e zenon_H9b zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.99/1.23 apply (zenon_L250_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 0.99/1.23 apply (zenon_L54_); trivial. % 0.99/1.23 exact (zenon_Hd7 zenon_Hd8). % 0.99/1.23 (* end of lemma zenon_L251_ *) % 0.99/1.23 assert (zenon_L252_ : (~(hskp3)) -> (hskp3) -> False). % 0.99/1.23 do 0 intro. intros zenon_H227 zenon_H228. % 0.99/1.23 exact (zenon_H227 zenon_H228). % 0.99/1.23 (* end of lemma zenon_L252_ *) % 0.99/1.23 assert (zenon_L253_ : (~(hskp28)) -> (hskp28) -> False). % 0.99/1.23 do 0 intro. intros zenon_H229 zenon_H22a. % 0.99/1.23 exact (zenon_H229 zenon_H22a). % 0.99/1.23 (* end of lemma zenon_L253_ *) % 0.99/1.23 assert (zenon_L254_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hf9 zenon_Ha zenon_H22b zenon_H22c zenon_H22d. % 0.99/1.23 generalize (zenon_Hf9 (a2406)). zenon_intro zenon_H22e. % 0.99/1.23 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ]. % 0.99/1.23 exact (zenon_H9 zenon_Ha). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ]. % 0.99/1.23 exact (zenon_H231 zenon_H22b). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 0.99/1.23 exact (zenon_H233 zenon_H22c). % 0.99/1.23 exact (zenon_H232 zenon_H22d). % 0.99/1.23 (* end of lemma zenon_L254_ *) % 0.99/1.23 assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H234 zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 0.99/1.23 apply (zenon_L49_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 0.99/1.23 apply (zenon_L254_); trivial. % 0.99/1.23 exact (zenon_H7c zenon_H7d). % 0.99/1.23 (* end of lemma zenon_L255_ *) % 0.99/1.23 assert (zenon_L256_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp12)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_H59 zenon_H9b zenon_H9a zenon_H9c zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 0.99/1.23 apply (zenon_L48_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H4f | zenon_intro zenon_H61 ]. % 0.99/1.23 apply (zenon_L251_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ]. % 0.99/1.23 exact (zenon_H59 zenon_H5a). % 0.99/1.23 exact (zenon_H5b zenon_H5c). % 0.99/1.23 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ]. % 0.99/1.23 exact (zenon_H227 zenon_H228). % 0.99/1.23 exact (zenon_H229 zenon_H22a). % 0.99/1.23 apply (zenon_L255_); trivial. % 0.99/1.23 (* end of lemma zenon_L256_ *) % 0.99/1.23 assert (zenon_L257_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H111 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H18d zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H238 zenon_H227 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H9c zenon_H9a zenon_H9b zenon_H59 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_Hca. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 0.99/1.23 apply (zenon_L256_); trivial. % 0.99/1.23 apply (zenon_L155_); trivial. % 0.99/1.23 (* end of lemma zenon_L257_ *) % 0.99/1.23 assert (zenon_L258_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_L52_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.23 apply (zenon_L240_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.23 apply (zenon_L40_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_L257_); trivial. % 1.06/1.23 apply (zenon_L148_); trivial. % 1.06/1.23 apply (zenon_L168_); trivial. % 1.06/1.23 apply (zenon_L232_); trivial. % 1.06/1.23 apply (zenon_L25_); trivial. % 1.06/1.23 apply (zenon_L28_); trivial. % 1.06/1.23 (* end of lemma zenon_L258_ *) % 1.06/1.23 assert (zenon_L259_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.23 apply (zenon_L80_); trivial. % 1.06/1.23 apply (zenon_L126_); trivial. % 1.06/1.23 (* end of lemma zenon_L259_ *) % 1.06/1.23 assert (zenon_L260_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_L259_); trivial. % 1.06/1.23 apply (zenon_L19_); trivial. % 1.06/1.23 (* end of lemma zenon_L260_ *) % 1.06/1.23 assert (zenon_L261_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H23a zenon_H12d zenon_H12c zenon_H12b zenon_Ha zenon_H229 zenon_H3. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ]. % 1.06/1.23 apply (zenon_L124_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ]. % 1.06/1.23 exact (zenon_H229 zenon_H22a). % 1.06/1.23 exact (zenon_H3 zenon_H4). % 1.06/1.23 (* end of lemma zenon_L261_ *) % 1.06/1.23 assert (zenon_L262_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> (c1_1 (a2406)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp18)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1e0 zenon_H22c zenon_H22d zenon_H22b zenon_H39 zenon_Ha zenon_Hd7 zenon_H1b7. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1e1 ]. % 1.06/1.23 generalize (zenon_H1dd (a2406)). zenon_intro zenon_H23c. % 1.06/1.23 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ]. % 1.06/1.23 exact (zenon_H9 zenon_Ha). % 1.06/1.23 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23e | zenon_intro zenon_H230 ]. % 1.06/1.23 generalize (zenon_H39 (a2406)). zenon_intro zenon_H23f. % 1.06/1.23 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H9 | zenon_intro zenon_H240 ]. % 1.06/1.23 exact (zenon_H9 zenon_Ha). % 1.06/1.23 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H242 | zenon_intro zenon_H241 ]. % 1.06/1.23 exact (zenon_H23e zenon_H242). % 1.06/1.23 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 1.06/1.23 exact (zenon_H231 zenon_H22b). % 1.06/1.23 exact (zenon_H232 zenon_H22d). % 1.06/1.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 1.06/1.23 exact (zenon_H233 zenon_H22c). % 1.06/1.23 exact (zenon_H232 zenon_H22d). % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1b8 ]. % 1.06/1.23 exact (zenon_Hd7 zenon_Hd8). % 1.06/1.23 exact (zenon_H1b7 zenon_H1b8). % 1.06/1.23 (* end of lemma zenon_L262_ *) % 1.06/1.23 assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H234 zenon_H1ae zenon_H1b7 zenon_H1e0 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ]. % 1.06/1.23 apply (zenon_L262_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ]. % 1.06/1.23 apply (zenon_L139_); trivial. % 1.06/1.23 exact (zenon_Hd7 zenon_Hd8). % 1.06/1.23 (* end of lemma zenon_L263_ *) % 1.06/1.23 assert (zenon_L264_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H237 zenon_H1ae zenon_H1e0 zenon_H23a zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.23 apply (zenon_L260_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.23 apply (zenon_L40_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.23 apply (zenon_L80_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.06/1.23 apply (zenon_L261_); trivial. % 1.06/1.23 apply (zenon_L263_); trivial. % 1.06/1.23 apply (zenon_L147_); trivial. % 1.06/1.23 apply (zenon_L19_); trivial. % 1.06/1.23 apply (zenon_L150_); trivial. % 1.06/1.23 apply (zenon_L232_); trivial. % 1.06/1.23 (* end of lemma zenon_L264_ *) % 1.06/1.23 assert (zenon_L265_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(hskp21)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H13b zenon_H243 zenon_H15 zenon_H143. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H184 | zenon_intro zenon_H244 ]. % 1.06/1.23 apply (zenon_L124_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H16 | zenon_intro zenon_H144 ]. % 1.06/1.23 exact (zenon_H15 zenon_H16). % 1.06/1.23 exact (zenon_H143 zenon_H144). % 1.06/1.23 (* end of lemma zenon_L265_ *) % 1.06/1.23 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp3)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H153 zenon_H245 zenon_H9c zenon_H9b zenon_H9a zenon_H227. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H99 | zenon_intro zenon_H246 ]. % 1.06/1.23 apply (zenon_L39_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H149 | zenon_intro zenon_H228 ]. % 1.06/1.23 apply (zenon_L95_); trivial. % 1.06/1.23 exact (zenon_H227 zenon_H228). % 1.06/1.23 (* end of lemma zenon_L266_ *) % 1.06/1.23 assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H112 zenon_H158 zenon_H245 zenon_H227 zenon_H9c zenon_H9b zenon_H9a zenon_H217 zenon_H15 zenon_H243 zenon_H13a. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.23 apply (zenon_L239_); trivial. % 1.06/1.23 apply (zenon_L265_); trivial. % 1.06/1.23 apply (zenon_L266_); trivial. % 1.06/1.23 (* end of lemma zenon_L267_ *) % 1.06/1.23 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H4a zenon_H247 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.06/1.23 apply (zenon_L81_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.06/1.23 apply (zenon_L13_); trivial. % 1.06/1.23 apply (zenon_L139_); trivial. % 1.06/1.23 (* end of lemma zenon_L268_ *) % 1.06/1.23 assert (zenon_L269_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.23 apply (zenon_L31_); trivial. % 1.06/1.23 apply (zenon_L268_); trivial. % 1.06/1.23 (* end of lemma zenon_L269_ *) % 1.06/1.23 assert (zenon_L270_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H247 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.23 apply (zenon_L240_); trivial. % 1.06/1.23 apply (zenon_L269_); trivial. % 1.06/1.23 (* end of lemma zenon_L270_ *) % 1.06/1.23 assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H6d zenon_H13e zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H107 zenon_H247 zenon_H4e zenon_H1cd. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.23 apply (zenon_L260_); trivial. % 1.06/1.23 apply (zenon_L269_); trivial. % 1.06/1.23 apply (zenon_L270_); trivial. % 1.06/1.23 (* end of lemma zenon_L271_ *) % 1.06/1.23 assert (zenon_L272_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_Ha zenon_H22b zenon_H22c zenon_H22d. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.06/1.23 apply (zenon_L33_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.06/1.23 apply (zenon_L64_); trivial. % 1.06/1.23 apply (zenon_L254_); trivial. % 1.06/1.23 (* end of lemma zenon_L272_ *) % 1.06/1.23 assert (zenon_L273_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H234 zenon_H8d zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H35. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.06/1.23 apply (zenon_L272_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.06/1.23 apply (zenon_L33_); trivial. % 1.06/1.23 exact (zenon_H35 zenon_H36). % 1.06/1.23 (* end of lemma zenon_L273_ *) % 1.06/1.23 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H13b zenon_H237 zenon_H8d zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H3 zenon_H23a. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.06/1.23 apply (zenon_L261_); trivial. % 1.06/1.23 apply (zenon_L273_); trivial. % 1.06/1.23 (* end of lemma zenon_L274_ *) % 1.06/1.23 assert (zenon_L275_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H112 zenon_H4b zenon_H46 zenon_H43 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.23 apply (zenon_L239_); trivial. % 1.06/1.23 apply (zenon_L274_); trivial. % 1.06/1.23 apply (zenon_L19_); trivial. % 1.06/1.23 (* end of lemma zenon_L275_ *) % 1.06/1.23 assert (zenon_L276_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H13e zenon_H4b zenon_H46 zenon_H43 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_L52_); trivial. % 1.06/1.23 apply (zenon_L275_); trivial. % 1.06/1.23 (* end of lemma zenon_L276_ *) % 1.06/1.23 assert (zenon_L277_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H6d zenon_H13e zenon_H217 zenon_H15 zenon_H23a zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H13a zenon_H139 zenon_H3 zenon_H46 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_L83_); trivial. % 1.06/1.23 apply (zenon_L275_); trivial. % 1.06/1.23 (* end of lemma zenon_L277_ *) % 1.06/1.23 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1ae zenon_H1e0 zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H237 zenon_H8d zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H43 zenon_H46 zenon_H4b zenon_H13e. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.23 apply (zenon_L276_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_L264_); trivial. % 1.06/1.23 apply (zenon_L275_); trivial. % 1.06/1.23 apply (zenon_L277_); trivial. % 1.06/1.23 (* end of lemma zenon_L278_ *) % 1.06/1.23 assert (zenon_L279_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H98 zenon_H139 zenon_H8d zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62 zenon_H158 zenon_H245 zenon_H243 zenon_H46 zenon_H3 zenon_H126 zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H247 zenon_H7e zenon_H96. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.23 apply (zenon_L258_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.23 apply (zenon_L264_); trivial. % 1.06/1.23 apply (zenon_L267_); trivial. % 1.06/1.23 apply (zenon_L271_); trivial. % 1.06/1.23 apply (zenon_L278_); trivial. % 1.06/1.23 (* end of lemma zenon_L279_ *) % 1.06/1.23 assert (zenon_L280_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_L259_); trivial. % 1.06/1.23 apply (zenon_L167_); trivial. % 1.06/1.23 apply (zenon_L150_); trivial. % 1.06/1.23 (* end of lemma zenon_L280_ *) % 1.06/1.23 assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.23 apply (zenon_L280_); trivial. % 1.06/1.23 apply (zenon_L214_); trivial. % 1.06/1.23 (* end of lemma zenon_L281_ *) % 1.06/1.23 assert (zenon_L282_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.06/1.23 do 0 intro. intros zenon_H247 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.06/1.23 apply (zenon_L103_); trivial. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.06/1.23 apply (zenon_L13_); trivial. % 1.06/1.23 apply (zenon_L139_); trivial. % 1.06/1.23 (* end of lemma zenon_L282_ *) % 1.06/1.23 assert (zenon_L283_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.23 apply (zenon_L282_); trivial. % 1.06/1.23 apply (zenon_L177_); trivial. % 1.06/1.23 apply (zenon_L155_); trivial. % 1.06/1.23 apply (zenon_L148_); trivial. % 1.06/1.23 (* end of lemma zenon_L283_ *) % 1.06/1.23 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.23 apply (zenon_L283_); trivial. % 1.06/1.23 apply (zenon_L150_); trivial. % 1.06/1.23 apply (zenon_L232_); trivial. % 1.06/1.23 (* end of lemma zenon_L284_ *) % 1.06/1.23 assert (zenon_L285_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H18d zenon_H19d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.23 apply (zenon_L281_); trivial. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.23 apply (zenon_L40_); trivial. % 1.06/1.23 apply (zenon_L284_); trivial. % 1.06/1.23 (* end of lemma zenon_L285_ *) % 1.06/1.23 assert (zenon_L286_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.23 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.23 apply (zenon_L283_); trivial. % 1.06/1.23 apply (zenon_L168_); trivial. % 1.06/1.23 (* end of lemma zenon_L286_ *) % 1.06/1.23 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> False). % 1.06/1.23 do 0 intro. intros zenon_H125 zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H2c zenon_H2b zenon_H2a. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.06/1.23 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.06/1.24 apply (zenon_L99_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.06/1.24 apply (zenon_L13_); trivial. % 1.06/1.24 apply (zenon_L76_); trivial. % 1.06/1.24 (* end of lemma zenon_L287_ *) % 1.06/1.24 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.06/1.24 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.24 apply (zenon_L140_); trivial. % 1.06/1.24 apply (zenon_L287_); trivial. % 1.06/1.24 (* end of lemma zenon_L288_ *) % 1.06/1.24 assert (zenon_L289_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H159 zenon_H15a zenon_H15b zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H12a. % 1.06/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.24 apply (zenon_L75_); trivial. % 1.06/1.24 apply (zenon_L287_); trivial. % 1.06/1.24 apply (zenon_L288_); trivial. % 1.06/1.24 (* end of lemma zenon_L289_ *) % 1.06/1.24 assert (zenon_L290_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H119 zenon_H15b zenon_H15a zenon_H159 zenon_Ha zenon_H43. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.06/1.24 apply (zenon_L230_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.06/1.24 apply (zenon_L99_); trivial. % 1.06/1.24 exact (zenon_H43 zenon_H44). % 1.06/1.24 (* end of lemma zenon_L290_ *) % 1.06/1.24 assert (zenon_L291_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp1)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H10d zenon_H18d zenon_H43 zenon_H159 zenon_H15a zenon_H15b zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H59. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 1.06/1.24 apply (zenon_L128_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 1.06/1.24 apply (zenon_L290_); trivial. % 1.06/1.24 exact (zenon_H59 zenon_H5a). % 1.06/1.24 (* end of lemma zenon_L291_ *) % 1.06/1.24 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H45 zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H159 zenon_H15a zenon_H15b zenon_H43 zenon_H107 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.24 apply (zenon_L143_); trivial. % 1.06/1.24 apply (zenon_L291_); trivial. % 1.06/1.24 (* end of lemma zenon_L292_ *) % 1.06/1.24 assert (zenon_L293_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H162 zenon_H4b zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H1ae zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_L289_); trivial. % 1.06/1.24 apply (zenon_L292_); trivial. % 1.06/1.24 (* end of lemma zenon_L293_ *) % 1.06/1.24 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_L286_); trivial. % 1.06/1.24 apply (zenon_L293_); trivial. % 1.06/1.24 (* end of lemma zenon_L294_ *) % 1.06/1.24 assert (zenon_L295_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L285_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L240_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L40_); trivial. % 1.06/1.24 apply (zenon_L294_); trivial. % 1.06/1.24 (* end of lemma zenon_L295_ *) % 1.06/1.24 assert (zenon_L296_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1ca zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.24 apply (zenon_L283_); trivial. % 1.06/1.24 apply (zenon_L241_); trivial. % 1.06/1.24 (* end of lemma zenon_L296_ *) % 1.06/1.24 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L31_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_L296_); trivial. % 1.06/1.24 apply (zenon_L232_); trivial. % 1.06/1.24 (* end of lemma zenon_L297_ *) % 1.06/1.24 assert (zenon_L298_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H6d zenon_H13e zenon_H15 zenon_H217 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L101_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.24 apply (zenon_L239_); trivial. % 1.06/1.24 apply (zenon_L94_); trivial. % 1.06/1.24 apply (zenon_L96_); trivial. % 1.06/1.24 apply (zenon_L100_); trivial. % 1.06/1.24 (* end of lemma zenon_L298_ *) % 1.06/1.24 assert (zenon_L299_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H96 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H1c6 zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H7e zenon_H21c zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H238 zenon_H227 zenon_Hd9 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_H1ae zenon_H1b9 zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.24 apply (zenon_L258_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.24 apply (zenon_L295_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L285_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L240_); trivial. % 1.06/1.24 apply (zenon_L297_); trivial. % 1.06/1.24 apply (zenon_L298_); trivial. % 1.06/1.24 (* end of lemma zenon_L299_ *) % 1.06/1.24 assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_L219_); trivial. % 1.06/1.24 apply (zenon_L232_); trivial. % 1.06/1.24 (* end of lemma zenon_L300_ *) % 1.06/1.24 assert (zenon_L301_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L52_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L240_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L40_); trivial. % 1.06/1.24 apply (zenon_L300_); trivial. % 1.06/1.24 apply (zenon_L25_); trivial. % 1.06/1.24 apply (zenon_L28_); trivial. % 1.06/1.24 (* end of lemma zenon_L301_ *) % 1.06/1.24 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H50 zenon_H51 zenon_H52 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1ca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_L34_); trivial. % 1.06/1.24 apply (zenon_L148_); trivial. % 1.06/1.24 apply (zenon_L241_); trivial. % 1.06/1.24 apply (zenon_L214_); trivial. % 1.06/1.24 (* end of lemma zenon_L302_ *) % 1.06/1.24 assert (zenon_L303_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H50 zenon_H51 zenon_H52 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L281_); trivial. % 1.06/1.24 apply (zenon_L302_); trivial. % 1.06/1.24 (* end of lemma zenon_L303_ *) % 1.06/1.24 assert (zenon_L304_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H5d zenon_H13e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H21c zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1ae zenon_H18d zenon_H59 zenon_H111 zenon_H1cd. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L303_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L240_); trivial. % 1.06/1.24 apply (zenon_L302_); trivial. % 1.06/1.24 (* end of lemma zenon_L304_ *) % 1.06/1.24 assert (zenon_L305_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H6d zenon_H62 zenon_H139 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.24 apply (zenon_L236_); trivial. % 1.06/1.24 apply (zenon_L222_); trivial. % 1.06/1.24 (* end of lemma zenon_L305_ *) % 1.06/1.24 assert (zenon_L306_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165 zenon_H107 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1cd zenon_H111 zenon_H18d zenon_H1ae zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H21c zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H15 zenon_H217 zenon_H13e zenon_H62. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.24 apply (zenon_L236_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.24 apply (zenon_L303_); trivial. % 1.06/1.24 apply (zenon_L244_); trivial. % 1.06/1.24 apply (zenon_L305_); trivial. % 1.06/1.24 (* end of lemma zenon_L306_ *) % 1.06/1.24 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H8f zenon_H96 zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H1cd zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H21c zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H217 zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.24 apply (zenon_L235_); trivial. % 1.06/1.24 apply (zenon_L306_); trivial. % 1.06/1.24 (* end of lemma zenon_L307_ *) % 1.06/1.24 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H175 zenon_H95 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H111 zenon_H18d zenon_H1ae zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.06/1.24 apply (zenon_L248_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.06/1.24 apply (zenon_L246_); trivial. % 1.06/1.24 apply (zenon_L307_); trivial. % 1.06/1.24 (* end of lemma zenon_L308_ *) % 1.06/1.24 assert (zenon_L309_ : ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp23)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H126 zenon_H20b zenon_H20a zenon_H72 zenon_H209 zenon_Ha zenon_Hc3 zenon_H123. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ]. % 1.06/1.24 apply (zenon_L230_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ]. % 1.06/1.24 exact (zenon_Hc3 zenon_Hc4). % 1.06/1.24 exact (zenon_H123 zenon_H124). % 1.06/1.24 (* end of lemma zenon_L309_ *) % 1.06/1.24 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.06/1.24 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.06/1.24 apply (zenon_L309_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.06/1.24 apply (zenon_L133_); trivial. % 1.06/1.24 exact (zenon_H123 zenon_H124). % 1.06/1.24 apply (zenon_L78_); trivial. % 1.06/1.24 (* end of lemma zenon_L310_ *) % 1.06/1.24 assert (zenon_L311_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H12a zenon_Hca. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.24 apply (zenon_L48_); trivial. % 1.06/1.24 apply (zenon_L310_); trivial. % 1.06/1.24 apply (zenon_L126_); trivial. % 1.06/1.24 (* end of lemma zenon_L311_ *) % 1.06/1.24 assert (zenon_L312_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H1ae zenon_H18d zenon_H59 zenon_H4b zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H117 zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L311_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_L179_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_L156_); trivial. % 1.06/1.24 apply (zenon_L292_); trivial. % 1.06/1.24 (* end of lemma zenon_L312_ *) % 1.06/1.24 assert (zenon_L313_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H10d zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.24 apply (zenon_L130_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.24 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 1.06/1.24 apply (zenon_L128_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.06/1.24 apply (zenon_L230_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.06/1.24 apply (zenon_L133_); trivial. % 1.06/1.24 exact (zenon_H123 zenon_H124). % 1.06/1.24 exact (zenon_H59 zenon_H5a). % 1.06/1.24 apply (zenon_L129_); trivial. % 1.06/1.24 apply (zenon_L126_); trivial. % 1.06/1.24 (* end of lemma zenon_L313_ *) % 1.06/1.24 assert (zenon_L314_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.24 apply (zenon_L157_); trivial. % 1.06/1.24 apply (zenon_L313_); trivial. % 1.06/1.24 (* end of lemma zenon_L314_ *) % 1.06/1.24 assert (zenon_L315_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_L314_); trivial. % 1.06/1.24 apply (zenon_L86_); trivial. % 1.06/1.24 (* end of lemma zenon_L315_ *) % 1.06/1.24 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L315_); trivial. % 1.06/1.24 apply (zenon_L185_); trivial. % 1.06/1.24 (* end of lemma zenon_L316_ *) % 1.06/1.24 assert (zenon_L317_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H18f zenon_H190 zenon_Ha zenon_H123. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.06/1.24 apply (zenon_L29_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.06/1.24 apply (zenon_L132_); trivial. % 1.06/1.24 exact (zenon_H123 zenon_H124). % 1.06/1.24 (* end of lemma zenon_L317_ *) % 1.06/1.24 assert (zenon_L318_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H247 zenon_Hed zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.06/1.24 apply (zenon_L103_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.06/1.24 apply (zenon_L13_); trivial. % 1.06/1.24 apply (zenon_L317_); trivial. % 1.06/1.24 (* end of lemma zenon_L318_ *) % 1.06/1.24 assert (zenon_L319_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H19f zenon_H123 zenon_H191 zenon_H190 zenon_H247. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.24 apply (zenon_L318_); trivial. % 1.06/1.24 apply (zenon_L177_); trivial. % 1.06/1.24 (* end of lemma zenon_L319_ *) % 1.06/1.24 assert (zenon_L320_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.24 apply (zenon_L319_); trivial. % 1.06/1.24 apply (zenon_L126_); trivial. % 1.06/1.24 apply (zenon_L313_); trivial. % 1.06/1.24 apply (zenon_L167_); trivial. % 1.06/1.24 (* end of lemma zenon_L320_ *) % 1.06/1.24 assert (zenon_L321_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L31_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.24 apply (zenon_L320_); trivial. % 1.06/1.24 apply (zenon_L168_); trivial. % 1.06/1.24 apply (zenon_L214_); trivial. % 1.06/1.24 (* end of lemma zenon_L321_ *) % 1.06/1.24 assert (zenon_L322_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> False). % 1.06/1.24 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H18f zenon_H190 zenon_H191 zenon_H1e8. % 1.06/1.24 generalize (zenon_Hb9 (a2410)). zenon_intro zenon_H249. % 1.06/1.24 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H9 | zenon_intro zenon_H24a ]. % 1.06/1.24 exact (zenon_H9 zenon_Ha). % 1.06/1.24 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H192 | zenon_intro zenon_H1eb ]. % 1.06/1.24 apply (zenon_L131_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1ec | zenon_intro zenon_H198 ]. % 1.06/1.24 exact (zenon_H1ec zenon_H1e8). % 1.06/1.24 exact (zenon_H198 zenon_H191). % 1.06/1.24 (* end of lemma zenon_L322_ *) % 1.06/1.24 assert (zenon_L323_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_Hfc zenon_Hfb zenon_Ha zenon_Ha5 zenon_H7c. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.06/1.24 apply (zenon_L322_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.06/1.24 apply (zenon_L66_); trivial. % 1.06/1.24 exact (zenon_H7c zenon_H7d). % 1.06/1.24 (* end of lemma zenon_L323_ *) % 1.06/1.24 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp10)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> False). % 1.06/1.24 do 0 intro. intros zenon_H109 zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H52 zenon_H51 zenon_H50 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H7c zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H43. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.06/1.24 apply (zenon_L149_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.06/1.24 apply (zenon_L22_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.06/1.24 apply (zenon_L29_); trivial. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.06/1.24 apply (zenon_L323_); trivial. % 1.06/1.24 exact (zenon_H43 zenon_H44). % 1.06/1.24 (* end of lemma zenon_L324_ *) % 1.06/1.24 assert (zenon_L325_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H189 zenon_H187 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_H2c zenon_H2b zenon_H2a zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H21c zenon_H10e. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.24 apply (zenon_L318_); trivial. % 1.06/1.24 apply (zenon_L324_); trivial. % 1.06/1.24 apply (zenon_L126_); trivial. % 1.06/1.24 (* end of lemma zenon_L325_ *) % 1.06/1.24 assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1cb zenon_H1ae zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H1ca zenon_H107 zenon_H43 zenon_H1e8 zenon_H1a1 zenon_H21c zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H19f zenon_H191 zenon_H190 zenon_H247 zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H165 zenon_H4e. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L31_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.24 apply (zenon_L320_); trivial. % 1.06/1.24 apply (zenon_L325_); trivial. % 1.06/1.24 apply (zenon_L214_); trivial. % 1.06/1.24 apply (zenon_L297_); trivial. % 1.06/1.24 (* end of lemma zenon_L326_ *) % 1.06/1.24 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1b9 zenon_H43 zenon_H107 zenon_H111 zenon_H1c6 zenon_H1ca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_L179_); trivial. % 1.06/1.24 apply (zenon_L232_); trivial. % 1.06/1.24 (* end of lemma zenon_L327_ *) % 1.06/1.24 assert (zenon_L328_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_H117 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.24 apply (zenon_L311_); trivial. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.24 apply (zenon_L181_); trivial. % 1.06/1.24 apply (zenon_L327_); trivial. % 1.06/1.24 (* end of lemma zenon_L328_ *) % 1.06/1.24 assert (zenon_L329_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H139 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_Hef zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.24 apply (zenon_L202_); trivial. % 1.06/1.24 apply (zenon_L189_); trivial. % 1.06/1.24 (* end of lemma zenon_L329_ *) % 1.06/1.24 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_Hef zenon_H189 zenon_H187 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.24 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.24 apply (zenon_L57_); trivial. % 1.06/1.24 apply (zenon_L329_); trivial. % 1.06/1.24 apply (zenon_L167_); trivial. % 1.06/1.24 apply (zenon_L168_); trivial. % 1.06/1.24 apply (zenon_L232_); trivial. % 1.06/1.24 (* end of lemma zenon_L330_ *) % 1.06/1.24 assert (zenon_L331_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.24 do 0 intro. intros zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H1cb zenon_H117 zenon_H139 zenon_Hca zenon_H1ca zenon_H1d9 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H187 zenon_H1b9 zenon_H4b zenon_H158 zenon_H201 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.25 apply (zenon_L208_); trivial. % 1.06/1.25 apply (zenon_L330_); trivial. % 1.06/1.25 (* end of lemma zenon_L331_ *) % 1.06/1.25 assert (zenon_L332_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> (~(hskp23)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H35 zenon_Hc3 zenon_H123 zenon_H126 zenon_H12a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.25 apply (zenon_L79_); trivial. % 1.06/1.25 apply (zenon_L310_); trivial. % 1.06/1.25 (* end of lemma zenon_L332_ *) % 1.06/1.25 assert (zenon_L333_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H1b7 zenon_H145 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.25 apply (zenon_L332_); trivial. % 1.06/1.25 apply (zenon_L126_); trivial. % 1.06/1.25 apply (zenon_L167_); trivial. % 1.06/1.25 (* end of lemma zenon_L333_ *) % 1.06/1.25 assert (zenon_L334_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.25 apply (zenon_L333_); trivial. % 1.06/1.25 apply (zenon_L168_); trivial. % 1.06/1.25 (* end of lemma zenon_L334_ *) % 1.06/1.25 assert (zenon_L335_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_L334_); trivial. % 1.06/1.25 apply (zenon_L214_); trivial. % 1.06/1.25 (* end of lemma zenon_L335_ *) % 1.06/1.25 assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp17)) -> (~(hskp21)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H13b zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H145 zenon_H143 zenon_H43 zenon_H139. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 1.06/1.25 apply (zenon_L103_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.06/1.25 apply (zenon_L93_); trivial. % 1.06/1.25 exact (zenon_H43 zenon_H44). % 1.06/1.25 apply (zenon_L177_); trivial. % 1.06/1.25 (* end of lemma zenon_L336_ *) % 1.06/1.25 assert (zenon_L337_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H154 zenon_Hed zenon_H73 zenon_H74 zenon_H75 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_Ha zenon_H14a zenon_H14b zenon_H14c. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.06/1.25 apply (zenon_L103_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.06/1.25 apply (zenon_L194_); trivial. % 1.06/1.25 apply (zenon_L95_); trivial. % 1.06/1.25 (* end of lemma zenon_L337_ *) % 1.06/1.25 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H153 zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.06/1.25 apply (zenon_L192_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.25 apply (zenon_L337_); trivial. % 1.06/1.25 apply (zenon_L177_); trivial. % 1.06/1.25 (* end of lemma zenon_L338_ *) % 1.06/1.25 assert (zenon_L339_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1cd zenon_H59 zenon_H18d zenon_H1ae zenon_H158 zenon_H201 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H1e8 zenon_H1ed zenon_H139 zenon_H147 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L335_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.25 apply (zenon_L332_); trivial. % 1.06/1.25 apply (zenon_L336_); trivial. % 1.06/1.25 apply (zenon_L338_); trivial. % 1.06/1.25 apply (zenon_L178_); trivial. % 1.06/1.25 apply (zenon_L148_); trivial. % 1.06/1.25 apply (zenon_L150_); trivial. % 1.06/1.25 apply (zenon_L214_); trivial. % 1.06/1.25 (* end of lemma zenon_L339_ *) % 1.06/1.25 assert (zenon_L340_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H35 zenon_H8d. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.25 apply (zenon_L57_); trivial. % 1.06/1.25 apply (zenon_L313_); trivial. % 1.06/1.25 (* end of lemma zenon_L340_ *) % 1.06/1.25 assert (zenon_L341_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.25 apply (zenon_L340_); trivial. % 1.06/1.25 apply (zenon_L167_); trivial. % 1.06/1.25 apply (zenon_L168_); trivial. % 1.06/1.25 (* end of lemma zenon_L341_ *) % 1.06/1.25 assert (zenon_L342_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_L341_); trivial. % 1.06/1.25 apply (zenon_L214_); trivial. % 1.06/1.25 (* end of lemma zenon_L342_ *) % 1.06/1.25 assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L342_); trivial. % 1.06/1.25 apply (zenon_L220_); trivial. % 1.06/1.25 (* end of lemma zenon_L343_ *) % 1.06/1.25 assert (zenon_L344_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H139 zenon_H165 zenon_Hb3 zenon_Hb1 zenon_H16f zenon_H8d zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H10e zenon_H13e. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_L334_); trivial. % 1.06/1.25 apply (zenon_L100_); trivial. % 1.06/1.25 apply (zenon_L221_); trivial. % 1.06/1.25 apply (zenon_L109_); trivial. % 1.06/1.25 apply (zenon_L222_); trivial. % 1.06/1.25 (* end of lemma zenon_L344_ *) % 1.06/1.25 assert (zenon_L345_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L234_); trivial. % 1.06/1.25 apply (zenon_L45_); trivial. % 1.06/1.25 (* end of lemma zenon_L345_ *) % 1.06/1.25 assert (zenon_L346_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.06/1.25 do 0 intro. intros zenon_Hef zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_Hed zenon_Hb1. % 1.06/1.25 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.06/1.25 apply (zenon_L9_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.06/1.25 exact (zenon_Hed zenon_Hee). % 1.06/1.25 exact (zenon_Hb1 zenon_Hb2). % 1.06/1.25 (* end of lemma zenon_L346_ *) % 1.06/1.25 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H8f zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.25 apply (zenon_L233_); trivial. % 1.06/1.25 apply (zenon_L115_); trivial. % 1.06/1.25 (* end of lemma zenon_L347_ *) % 1.06/1.25 assert (zenon_L348_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.06/1.25 apply (zenon_L227_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.06/1.25 apply (zenon_L38_); trivial. % 1.06/1.25 (* end of lemma zenon_L348_ *) % 1.06/1.25 assert (zenon_L349_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H24b zenon_Ha zenon_H24c zenon_H24d zenon_H24e. % 1.06/1.25 generalize (zenon_H24b (a2407)). zenon_intro zenon_H24f. % 1.06/1.25 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H9 | zenon_intro zenon_H250 ]. % 1.06/1.25 exact (zenon_H9 zenon_Ha). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ]. % 1.06/1.25 exact (zenon_H24c zenon_H252). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H254 | zenon_intro zenon_H253 ]. % 1.06/1.25 exact (zenon_H24d zenon_H254). % 1.06/1.25 exact (zenon_H253 zenon_H24e). % 1.06/1.25 (* end of lemma zenon_L349_ *) % 1.06/1.25 assert (zenon_L350_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp21)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H115 zenon_H143. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H24b | zenon_intro zenon_H256 ]. % 1.06/1.25 apply (zenon_L349_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H116 | zenon_intro zenon_H144 ]. % 1.06/1.25 exact (zenon_H115 zenon_H116). % 1.06/1.25 exact (zenon_H143 zenon_H144). % 1.06/1.25 (* end of lemma zenon_L350_ *) % 1.06/1.25 assert (zenon_L351_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.25 apply (zenon_L350_); trivial. % 1.06/1.25 apply (zenon_L129_); trivial. % 1.06/1.25 (* end of lemma zenon_L351_ *) % 1.06/1.25 assert (zenon_L352_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp22)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H257 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H33 zenon_H258. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H24b | zenon_intro zenon_H259 ]. % 1.06/1.25 apply (zenon_L349_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H34 | zenon_intro zenon_H25a ]. % 1.06/1.25 exact (zenon_H33 zenon_H34). % 1.06/1.25 exact (zenon_H258 zenon_H25a). % 1.06/1.25 (* end of lemma zenon_L352_ *) % 1.06/1.25 assert (zenon_L353_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2453))) -> (~(c1_1 (a2453))) -> (~(c2_1 (a2453))) -> False). % 1.06/1.25 do 0 intro. intros zenon_Ha6 zenon_Ha zenon_H25b zenon_H25c zenon_H25d. % 1.06/1.25 generalize (zenon_Ha6 (a2453)). zenon_intro zenon_H25e. % 1.06/1.25 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H9 | zenon_intro zenon_H25f ]. % 1.06/1.25 exact (zenon_H9 zenon_Ha). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 1.06/1.25 exact (zenon_H25b zenon_H261). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 1.06/1.25 exact (zenon_H25c zenon_H263). % 1.06/1.25 exact (zenon_H25d zenon_H262). % 1.06/1.25 (* end of lemma zenon_L353_ *) % 1.06/1.25 assert (zenon_L354_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H264 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.06/1.25 apply (zenon_L353_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.06/1.25 apply (zenon_L6_); trivial. % 1.06/1.25 apply (zenon_L95_); trivial. % 1.06/1.25 (* end of lemma zenon_L354_ *) % 1.06/1.25 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H153 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ]. % 1.06/1.25 apply (zenon_L352_); trivial. % 1.06/1.25 apply (zenon_L354_); trivial. % 1.06/1.25 (* end of lemma zenon_L355_ *) % 1.06/1.25 assert (zenon_L356_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H10d zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H12a. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.25 apply (zenon_L351_); trivial. % 1.06/1.25 apply (zenon_L355_); trivial. % 1.06/1.25 (* end of lemma zenon_L356_ *) % 1.06/1.25 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H112 zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_H12a zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.25 apply (zenon_L157_); trivial. % 1.06/1.25 apply (zenon_L356_); trivial. % 1.06/1.25 (* end of lemma zenon_L357_ *) % 1.06/1.25 assert (zenon_L358_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H13e zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_H12a zenon_Hd9 zenon_H59 zenon_H5e zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_L52_); trivial. % 1.06/1.25 apply (zenon_L357_); trivial. % 1.06/1.25 (* end of lemma zenon_L358_ *) % 1.06/1.25 assert (zenon_L359_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H5e zenon_Hd9 zenon_H12a zenon_H18d zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H13e. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L358_); trivial. % 1.06/1.25 apply (zenon_L45_); trivial. % 1.06/1.25 (* end of lemma zenon_L359_ *) % 1.06/1.25 assert (zenon_L360_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp23)) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H12a zenon_H126 zenon_H123 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.25 apply (zenon_L350_); trivial. % 1.06/1.25 apply (zenon_L78_); trivial. % 1.06/1.25 (* end of lemma zenon_L360_ *) % 1.06/1.25 assert (zenon_L361_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.25 apply (zenon_L360_); trivial. % 1.06/1.25 apply (zenon_L126_); trivial. % 1.06/1.25 (* end of lemma zenon_L361_ *) % 1.06/1.25 assert (zenon_L362_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.25 apply (zenon_L361_); trivial. % 1.06/1.25 apply (zenon_L355_); trivial. % 1.06/1.25 (* end of lemma zenon_L362_ *) % 1.06/1.25 assert (zenon_L363_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_L101_); trivial. % 1.06/1.25 apply (zenon_L270_); trivial. % 1.06/1.25 (* end of lemma zenon_L363_ *) % 1.06/1.25 assert (zenon_L364_ : (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (ndr1_0) -> (~(c2_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H29 zenon_Ha zenon_H24d zenon_H166 zenon_H24c zenon_H24e. % 1.06/1.25 generalize (zenon_H29 (a2407)). zenon_intro zenon_H268. % 1.06/1.25 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 1.06/1.25 exact (zenon_H9 zenon_Ha). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H254 | zenon_intro zenon_H26a ]. % 1.06/1.25 exact (zenon_H24d zenon_H254). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H26b | zenon_intro zenon_H253 ]. % 1.06/1.25 generalize (zenon_H166 (a2407)). zenon_intro zenon_H26c. % 1.06/1.25 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ]. % 1.06/1.25 exact (zenon_H9 zenon_Ha). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H252 | zenon_intro zenon_H26e ]. % 1.06/1.25 exact (zenon_H24c zenon_H252). % 1.06/1.25 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H253 | zenon_intro zenon_H26f ]. % 1.06/1.25 exact (zenon_H253 zenon_H24e). % 1.06/1.25 exact (zenon_H26f zenon_H26b). % 1.06/1.25 exact (zenon_H253 zenon_H24e). % 1.06/1.25 (* end of lemma zenon_L364_ *) % 1.06/1.25 assert (zenon_L365_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1ae zenon_H19 zenon_H24d zenon_H166 zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.06/1.25 apply (zenon_L82_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.06/1.25 apply (zenon_L364_); trivial. % 1.06/1.25 apply (zenon_L144_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ]. % 1.06/1.25 apply (zenon_L139_); trivial. % 1.06/1.25 exact (zenon_Hd7 zenon_Hd8). % 1.06/1.25 (* end of lemma zenon_L365_ *) % 1.06/1.25 assert (zenon_L366_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp20)) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.06/1.25 do 0 intro. intros zenon_Hef zenon_Hd7 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_H1ae zenon_Hed zenon_Hb1. % 1.06/1.25 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.06/1.25 apply (zenon_L365_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.06/1.25 exact (zenon_Hed zenon_Hee). % 1.06/1.25 exact (zenon_Hb1 zenon_Hb2). % 1.06/1.25 (* end of lemma zenon_L366_ *) % 1.06/1.25 assert (zenon_L367_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp29)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7 zenon_Hef zenon_Hed. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.06/1.25 apply (zenon_L6_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.06/1.25 apply (zenon_L366_); trivial. % 1.06/1.25 exact (zenon_Hed zenon_Hee). % 1.06/1.25 (* end of lemma zenon_L367_ *) % 1.06/1.25 assert (zenon_L368_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H13a zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.06/1.25 apply (zenon_L141_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.25 apply (zenon_L367_); trivial. % 1.06/1.25 apply (zenon_L177_); trivial. % 1.06/1.25 (* end of lemma zenon_L368_ *) % 1.06/1.25 assert (zenon_L369_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H13a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.25 apply (zenon_L368_); trivial. % 1.06/1.25 apply (zenon_L155_); trivial. % 1.06/1.25 (* end of lemma zenon_L369_ *) % 1.06/1.25 assert (zenon_L370_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.25 apply (zenon_L369_); trivial. % 1.06/1.25 apply (zenon_L148_); trivial. % 1.06/1.25 apply (zenon_L168_); trivial. % 1.06/1.25 (* end of lemma zenon_L370_ *) % 1.06/1.25 assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H162 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H5b zenon_H1db. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.25 apply (zenon_L169_); trivial. % 1.06/1.25 apply (zenon_L355_); trivial. % 1.06/1.25 (* end of lemma zenon_L371_ *) % 1.06/1.25 assert (zenon_L372_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L362_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_L370_); trivial. % 1.06/1.25 apply (zenon_L371_); trivial. % 1.06/1.25 apply (zenon_L357_); trivial. % 1.06/1.25 (* end of lemma zenon_L372_ *) % 1.06/1.25 assert (zenon_L373_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H62 zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H13e. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.25 apply (zenon_L372_); trivial. % 1.06/1.25 apply (zenon_L25_); trivial. % 1.06/1.25 (* end of lemma zenon_L373_ *) % 1.06/1.25 assert (zenon_L374_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H62. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L373_); trivial. % 1.06/1.25 apply (zenon_L28_); trivial. % 1.06/1.25 (* end of lemma zenon_L374_ *) % 1.06/1.25 assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.25 apply (zenon_L370_); trivial. % 1.06/1.25 apply (zenon_L214_); trivial. % 1.06/1.25 (* end of lemma zenon_L375_ *) % 1.06/1.25 assert (zenon_L376_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H1cd zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H19d zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L281_); trivial. % 1.06/1.25 apply (zenon_L375_); trivial. % 1.06/1.25 (* end of lemma zenon_L376_ *) % 1.06/1.25 assert (zenon_L377_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H13e zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H111 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd zenon_H21c zenon_H62. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_L376_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L240_); trivial. % 1.06/1.25 apply (zenon_L220_); trivial. % 1.06/1.25 apply (zenon_L304_); trivial. % 1.06/1.25 apply (zenon_L298_); trivial. % 1.06/1.25 (* end of lemma zenon_L377_ *) % 1.06/1.25 assert (zenon_L378_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H96 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H7c zenon_H107 zenon_H247 zenon_H1cd zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H15 zenon_H6e zenon_H97. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L41_); trivial. % 1.06/1.25 apply (zenon_L28_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L41_); trivial. % 1.06/1.25 apply (zenon_L271_); trivial. % 1.06/1.25 (* end of lemma zenon_L378_ *) % 1.06/1.25 assert (zenon_L379_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H98 zenon_H62 zenon_H8d zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H97 zenon_H6e zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H1cd zenon_H247 zenon_H107 zenon_H7e zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H96. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.06/1.25 apply (zenon_L378_); trivial. % 1.06/1.25 apply (zenon_L36_); trivial. % 1.06/1.25 (* end of lemma zenon_L379_ *) % 1.06/1.25 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H175 zenon_H95 zenon_H21c zenon_H165 zenon_H1db zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H19d zenon_H18d zenon_H111 zenon_H1d9 zenon_H1ca zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H257 zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H96 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H7e zenon_H107 zenon_H247 zenon_H1cd zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H15 zenon_H6e zenon_H97 zenon_H27 zenon_H8d zenon_H62 zenon_H98. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.06/1.25 apply (zenon_L379_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.06/1.25 apply (zenon_L374_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.25 apply (zenon_L236_); trivial. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.25 apply (zenon_L362_); trivial. % 1.06/1.25 apply (zenon_L243_); trivial. % 1.06/1.25 apply (zenon_L244_); trivial. % 1.06/1.25 (* end of lemma zenon_L380_ *) % 1.06/1.25 assert (zenon_L381_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H62. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.25 apply (zenon_L373_); trivial. % 1.06/1.25 apply (zenon_L45_); trivial. % 1.06/1.25 (* end of lemma zenon_L381_ *) % 1.06/1.25 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.06/1.25 do 0 intro. intros zenon_H45 zenon_H270 zenon_H187 zenon_H189 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.06/1.25 apply (zenon_L166_); trivial. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.06/1.25 apply (zenon_L349_); trivial. % 1.06/1.25 apply (zenon_L191_); trivial. % 1.06/1.25 (* end of lemma zenon_L382_ *) % 1.06/1.25 assert (zenon_L383_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.25 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.25 apply (zenon_L16_); trivial. % 1.06/1.25 apply (zenon_L382_); trivial. % 1.06/1.25 (* end of lemma zenon_L383_ *) % 1.06/1.25 assert (zenon_L384_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.06/1.25 do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.06/1.25 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.25 apply (zenon_L31_); trivial. % 1.06/1.25 apply (zenon_L383_); trivial. % 1.06/1.25 (* end of lemma zenon_L384_ *) % 1.06/1.25 assert (zenon_L385_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H162 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.06/1.26 apply (zenon_L99_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.06/1.26 apply (zenon_L13_); trivial. % 1.06/1.26 apply (zenon_L144_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.06/1.26 apply (zenon_L349_); trivial. % 1.06/1.26 apply (zenon_L191_); trivial. % 1.06/1.26 (* end of lemma zenon_L385_ *) % 1.06/1.26 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.26 apply (zenon_L31_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_L286_); trivial. % 1.06/1.26 apply (zenon_L385_); trivial. % 1.06/1.26 (* end of lemma zenon_L386_ *) % 1.06/1.26 assert (zenon_L387_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.26 apply (zenon_L48_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.26 apply (zenon_L62_); trivial. % 1.06/1.26 apply (zenon_L161_); trivial. % 1.06/1.26 (* end of lemma zenon_L387_ *) % 1.06/1.26 assert (zenon_L388_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (c3_1 (a2432)) -> False). % 1.06/1.26 do 0 intro. intros zenon_Hf9 zenon_Ha zenon_H3b zenon_H19 zenon_H3a zenon_H3c. % 1.06/1.26 generalize (zenon_Hf9 (a2432)). zenon_intro zenon_H272. % 1.06/1.26 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 1.06/1.26 exact (zenon_H9 zenon_Ha). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H42 | zenon_intro zenon_H1d8 ]. % 1.06/1.26 exact (zenon_H42 zenon_H3b). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H41 ]. % 1.06/1.26 apply (zenon_L165_); trivial. % 1.06/1.26 exact (zenon_H41 zenon_H3c). % 1.06/1.26 (* end of lemma zenon_L388_ *) % 1.06/1.26 assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H45 zenon_Hca zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.26 apply (zenon_L48_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.06/1.26 apply (zenon_L33_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.06/1.26 apply (zenon_L49_); trivial. % 1.06/1.26 apply (zenon_L388_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.06/1.26 apply (zenon_L349_); trivial. % 1.06/1.26 apply (zenon_L191_); trivial. % 1.06/1.26 (* end of lemma zenon_L389_ *) % 1.06/1.26 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L204_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 (* end of lemma zenon_L390_ *) % 1.06/1.26 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.26 apply (zenon_L368_); trivial. % 1.06/1.26 apply (zenon_L387_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 apply (zenon_L150_); trivial. % 1.06/1.26 apply (zenon_L390_); trivial. % 1.06/1.26 (* end of lemma zenon_L391_ *) % 1.06/1.26 assert (zenon_L392_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L362_); trivial. % 1.06/1.26 apply (zenon_L391_); trivial. % 1.06/1.26 (* end of lemma zenon_L392_ *) % 1.06/1.26 assert (zenon_L393_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1cb zenon_H66 zenon_H64 zenon_Ha6 zenon_H65 zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.06/1.26 apply (zenon_L42_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.06/1.26 apply (zenon_L364_); trivial. % 1.06/1.26 apply (zenon_L76_); trivial. % 1.06/1.26 (* end of lemma zenon_L393_ *) % 1.06/1.26 assert (zenon_L394_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c3_1 (a2450)) -> (c1_1 (a2450)) -> (c0_1 (a2450)) -> (ndr1_0) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c1_1 (a2417))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp29)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H24d zenon_H24c zenon_H24e zenon_H65 zenon_Ha6 zenon_H64 zenon_H66 zenon_H1cb zenon_Hed. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.06/1.26 apply (zenon_L194_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.06/1.26 apply (zenon_L393_); trivial. % 1.06/1.26 exact (zenon_Hed zenon_Hee). % 1.06/1.26 (* end of lemma zenon_L394_ *) % 1.06/1.26 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H125 zenon_Hb3 zenon_Hed zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_H35 zenon_H16f zenon_H66 zenon_H65 zenon_H64 zenon_Hb1. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hb4 ]. % 1.06/1.26 apply (zenon_L394_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb2 ]. % 1.06/1.26 apply (zenon_L27_); trivial. % 1.06/1.26 exact (zenon_Hb1 zenon_Hb2). % 1.06/1.26 (* end of lemma zenon_L395_ *) % 1.06/1.26 assert (zenon_L396_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.26 apply (zenon_L350_); trivial. % 1.06/1.26 apply (zenon_L395_); trivial. % 1.06/1.26 (* end of lemma zenon_L396_ *) % 1.06/1.26 assert (zenon_L397_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H4b zenon_H270 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H187 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.06/1.26 apply (zenon_L192_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.26 apply (zenon_L48_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.06/1.26 apply (zenon_L396_); trivial. % 1.06/1.26 apply (zenon_L188_); trivial. % 1.06/1.26 apply (zenon_L196_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 (* end of lemma zenon_L397_ *) % 1.06/1.26 assert (zenon_L398_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.26 apply (zenon_L350_); trivial. % 1.06/1.26 apply (zenon_L201_); trivial. % 1.06/1.26 (* end of lemma zenon_L398_ *) % 1.06/1.26 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H125 zenon_H154 zenon_H2a zenon_H2b zenon_H2c zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.06/1.26 apply (zenon_L200_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.06/1.26 apply (zenon_L6_); trivial. % 1.06/1.26 apply (zenon_L95_); trivial. % 1.06/1.26 (* end of lemma zenon_L399_ *) % 1.06/1.26 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.06/1.26 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_He zenon_Hd zenon_Hc zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.06/1.26 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.26 apply (zenon_L140_); trivial. % 1.06/1.26 apply (zenon_L399_); trivial. % 1.06/1.26 (* end of lemma zenon_L400_ *) % 1.06/1.26 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H153 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H12a. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.06/1.26 apply (zenon_L75_); trivial. % 1.06/1.26 apply (zenon_L399_); trivial. % 1.06/1.26 apply (zenon_L400_); trivial. % 1.06/1.26 (* end of lemma zenon_L401_ *) % 1.06/1.26 assert (zenon_L402_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H158 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.26 apply (zenon_L398_); trivial. % 1.06/1.26 apply (zenon_L401_); trivial. % 1.06/1.26 (* end of lemma zenon_L402_ *) % 1.06/1.26 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L402_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 (* end of lemma zenon_L403_ *) % 1.06/1.26 assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H111 zenon_H27 zenon_H25 zenon_Hef zenon_Hd9 zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L397_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L71_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 apply (zenon_L403_); trivial. % 1.06/1.26 (* end of lemma zenon_L404_ *) % 1.06/1.26 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H5d zenon_H4b zenon_Hca zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H84 zenon_H85 zenon_H86 zenon_H8d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L34_); trivial. % 1.06/1.26 apply (zenon_L389_); trivial. % 1.06/1.26 (* end of lemma zenon_L405_ *) % 1.06/1.26 assert (zenon_L406_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L362_); trivial. % 1.06/1.26 apply (zenon_L375_); trivial. % 1.06/1.26 (* end of lemma zenon_L406_ *) % 1.06/1.26 assert (zenon_L407_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.26 apply (zenon_L57_); trivial. % 1.06/1.26 apply (zenon_L356_); trivial. % 1.06/1.26 apply (zenon_L167_); trivial. % 1.06/1.26 apply (zenon_L168_); trivial. % 1.06/1.26 apply (zenon_L214_); trivial. % 1.06/1.26 (* end of lemma zenon_L407_ *) % 1.06/1.26 assert (zenon_L408_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp12)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H10d zenon_H270 zenon_H59 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H18d zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.06/1.26 apply (zenon_L145_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.06/1.26 apply (zenon_L349_); trivial. % 1.06/1.26 apply (zenon_L191_); trivial. % 1.06/1.26 (* end of lemma zenon_L408_ *) % 1.06/1.26 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H45 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.26 apply (zenon_L143_); trivial. % 1.06/1.26 apply (zenon_L408_); trivial. % 1.06/1.26 (* end of lemma zenon_L409_ *) % 1.06/1.26 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L34_); trivial. % 1.06/1.26 apply (zenon_L382_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L34_); trivial. % 1.06/1.26 apply (zenon_L409_); trivial. % 1.06/1.26 (* end of lemma zenon_L410_ *) % 1.06/1.26 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.06/1.26 do 0 intro. intros zenon_H175 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.06/1.26 apply (zenon_L9_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.06/1.26 apply (zenon_L349_); trivial. % 1.06/1.26 apply (zenon_L191_); trivial. % 1.06/1.26 (* end of lemma zenon_L411_ *) % 1.06/1.26 assert (zenon_L412_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L314_); trivial. % 1.06/1.26 apply (zenon_L382_); trivial. % 1.06/1.26 (* end of lemma zenon_L412_ *) % 1.06/1.26 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1ce zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.26 apply (zenon_L157_); trivial. % 1.06/1.26 apply (zenon_L408_); trivial. % 1.06/1.26 (* end of lemma zenon_L413_ *) % 1.06/1.26 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L412_); trivial. % 1.06/1.26 apply (zenon_L413_); trivial. % 1.06/1.26 (* end of lemma zenon_L414_ *) % 1.06/1.26 assert (zenon_L415_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H62 zenon_H1cd zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H117 zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_H270 zenon_H1e8 zenon_H5e zenon_Hd9 zenon_H13e. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L311_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_L370_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_L369_); trivial. % 1.06/1.26 apply (zenon_L292_); trivial. % 1.06/1.26 apply (zenon_L168_); trivial. % 1.06/1.26 apply (zenon_L414_); trivial. % 1.06/1.26 apply (zenon_L25_); trivial. % 1.06/1.26 (* end of lemma zenon_L415_ *) % 1.06/1.26 assert (zenon_L416_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_Hd9 zenon_H5e zenon_H1e8 zenon_H270 zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H18d zenon_H117 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd zenon_H62. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.06/1.26 apply (zenon_L415_); trivial. % 1.06/1.26 apply (zenon_L45_); trivial. % 1.06/1.26 (* end of lemma zenon_L416_ *) % 1.06/1.26 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_L370_); trivial. % 1.06/1.26 apply (zenon_L232_); trivial. % 1.06/1.26 (* end of lemma zenon_L417_ *) % 1.06/1.26 assert (zenon_L418_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H62 zenon_H1cd zenon_H4e zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_H117 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_Hd9 zenon_H1db zenon_H154 zenon_H107 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_H270 zenon_H1e8 zenon_H5e zenon_H13e. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L311_); trivial. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.06/1.26 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_L370_); trivial. % 1.06/1.26 apply (zenon_L180_); trivial. % 1.06/1.26 apply (zenon_L417_); trivial. % 1.06/1.26 apply (zenon_L414_); trivial. % 1.06/1.26 apply (zenon_L25_); trivial. % 1.06/1.26 (* end of lemma zenon_L418_ *) % 1.06/1.26 assert (zenon_L419_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H1e8 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H117 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L311_); trivial. % 1.06/1.26 apply (zenon_L391_); trivial. % 1.06/1.26 (* end of lemma zenon_L419_ *) % 1.06/1.26 assert (zenon_L420_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H19f zenon_Hca zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_H158 zenon_H145 zenon_H1b9 zenon_H4b. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.06/1.26 apply (zenon_L361_); trivial. % 1.06/1.26 apply (zenon_L338_); trivial. % 1.06/1.26 apply (zenon_L313_); trivial. % 1.06/1.26 apply (zenon_L167_); trivial. % 1.06/1.26 apply (zenon_L150_); trivial. % 1.06/1.26 (* end of lemma zenon_L420_ *) % 1.06/1.26 assert (zenon_L421_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H158 zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a zenon_Hca zenon_H19f zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.06/1.26 apply (zenon_L420_); trivial. % 1.06/1.26 apply (zenon_L214_); trivial. % 1.06/1.26 (* end of lemma zenon_L421_ *) % 1.06/1.26 assert (zenon_L422_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.06/1.26 do 0 intro. intros zenon_H1cd zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H25 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H19f zenon_Hca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_H158 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165. % 1.06/1.26 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.06/1.26 apply (zenon_L421_); trivial. % 1.06/1.26 apply (zenon_L375_); trivial. % 1.06/1.26 (* end of lemma zenon_L422_ *) % 1.06/1.26 assert (zenon_L423_ : (forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> False). % 1.06/1.26 do 0 intro. intros zenon_Hdc zenon_Ha zenon_H274 zenon_H275 zenon_H276. % 1.06/1.26 generalize (zenon_Hdc (a2405)). zenon_intro zenon_H277. % 1.06/1.26 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H9 | zenon_intro zenon_H278 ]. % 1.06/1.26 exact (zenon_H9 zenon_Ha). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H27a | zenon_intro zenon_H279 ]. % 1.06/1.26 exact (zenon_H274 zenon_H27a). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H27c | zenon_intro zenon_H27b ]. % 1.06/1.26 exact (zenon_H27c zenon_H275). % 1.06/1.26 exact (zenon_H27b zenon_H276). % 1.06/1.26 (* end of lemma zenon_L423_ *) % 1.06/1.26 assert (zenon_L424_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.06/1.26 do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hcd zenon_Hcc zenon_H4f zenon_Ha zenon_Hd7. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 1.06/1.26 apply (zenon_L423_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 1.06/1.26 apply (zenon_L54_); trivial. % 1.06/1.26 exact (zenon_Hd7 zenon_Hd8). % 1.06/1.26 (* end of lemma zenon_L424_ *) % 1.06/1.26 assert (zenon_L425_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (c0_1 (a2405)) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.06/1.26 do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H274 zenon_H83 zenon_H275 zenon_Ha zenon_Hd7. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 1.06/1.26 apply (zenon_L423_); trivial. % 1.06/1.26 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 1.06/1.26 generalize (zenon_Hd4 (a2405)). zenon_intro zenon_H27d. % 1.06/1.26 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 1.06/1.26 exact (zenon_H9 zenon_Ha). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27c | zenon_intro zenon_H27f ]. % 1.06/1.26 exact (zenon_H27c zenon_H275). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H280 | zenon_intro zenon_H27b ]. % 1.06/1.26 generalize (zenon_H83 (a2405)). zenon_intro zenon_H281. % 1.06/1.26 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ]. % 1.06/1.26 exact (zenon_H9 zenon_Ha). % 1.06/1.26 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 1.06/1.26 exact (zenon_H280 zenon_H284). % 1.10/1.26 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H27a | zenon_intro zenon_H27c ]. % 1.10/1.26 exact (zenon_H274 zenon_H27a). % 1.10/1.26 exact (zenon_H27c zenon_H275). % 1.10/1.26 exact (zenon_H27b zenon_H276). % 1.10/1.26 exact (zenon_Hd7 zenon_Hd8). % 1.10/1.26 (* end of lemma zenon_L425_ *) % 1.10/1.26 assert (zenon_L426_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False). % 1.10/1.26 do 0 intro. intros zenon_H8d zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.26 apply (zenon_L424_); trivial. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.26 apply (zenon_L425_); trivial. % 1.10/1.26 exact (zenon_H35 zenon_H36). % 1.10/1.26 (* end of lemma zenon_L426_ *) % 1.10/1.26 assert (zenon_L427_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.26 do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.26 apply (zenon_L426_); trivial. % 1.10/1.26 apply (zenon_L70_); trivial. % 1.10/1.26 apply (zenon_L19_); trivial. % 1.10/1.26 (* end of lemma zenon_L427_ *) % 1.10/1.26 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.26 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.26 apply (zenon_L427_); trivial. % 1.10/1.26 apply (zenon_L20_); trivial. % 1.10/1.26 (* end of lemma zenon_L428_ *) % 1.10/1.26 assert (zenon_L429_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.26 do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H111. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.26 apply (zenon_L426_); trivial. % 1.10/1.26 apply (zenon_L387_); trivial. % 1.10/1.26 apply (zenon_L86_); trivial. % 1.10/1.26 (* end of lemma zenon_L429_ *) % 1.10/1.26 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.26 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.26 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.26 apply (zenon_L429_); trivial. % 1.10/1.26 apply (zenon_L87_); trivial. % 1.10/1.26 (* end of lemma zenon_L430_ *) % 1.10/1.26 assert (zenon_L431_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.10/1.26 do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H7e zenon_H98 zenon_H96 zenon_H117 zenon_H126 zenon_H12a zenon_H139 zenon_H13a zenon_H13e zenon_H111 zenon_H10e zenon_H27 zenon_H107 zenon_H105 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb7 zenon_Hc6 zenon_Hca zenon_H62 zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H97 zenon_H13f zenon_H141 zenon_H165 zenon_H158 zenon_H154 zenon_H147 zenon_H16f zenon_H95. % 1.10/1.26 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_L46_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_L41_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L52_); trivial. % 1.10/1.27 apply (zenon_L428_); trivial. % 1.10/1.27 apply (zenon_L35_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_L41_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L83_); trivial. % 1.10/1.27 apply (zenon_L428_); trivial. % 1.10/1.27 apply (zenon_L35_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_L89_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_L88_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L52_); trivial. % 1.10/1.27 apply (zenon_L430_); trivial. % 1.10/1.27 apply (zenon_L115_); trivial. % 1.10/1.27 apply (zenon_L111_); trivial. % 1.10/1.27 apply (zenon_L118_); trivial. % 1.10/1.27 (* end of lemma zenon_L431_ *) % 1.10/1.27 assert (zenon_L432_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3)))))) -> (~(hskp20)) -> False). % 1.10/1.27 do 0 intro. intros zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H29 zenon_Hd7. % 1.10/1.27 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 1.10/1.27 apply (zenon_L423_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 1.10/1.27 apply (zenon_L122_); trivial. % 1.10/1.27 exact (zenon_Hd7 zenon_Hd8). % 1.10/1.27 (* end of lemma zenon_L432_ *) % 1.10/1.27 assert (zenon_L433_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.10/1.27 do 0 intro. intros zenon_Hca zenon_H37 zenon_H35 zenon_H33 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H1 zenon_H5b zenon_Hb7. % 1.10/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.10/1.27 apply (zenon_L48_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ]. % 1.10/1.27 apply (zenon_L432_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H34 | zenon_intro zenon_H36 ]. % 1.10/1.27 exact (zenon_H33 zenon_H34). % 1.10/1.27 exact (zenon_H35 zenon_H36). % 1.10/1.27 (* end of lemma zenon_L433_ *) % 1.10/1.27 assert (zenon_L434_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H4e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H1b9 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H33 zenon_H37 zenon_Hca zenon_H189 zenon_H187 zenon_H4b zenon_H158 zenon_H154 zenon_H1db zenon_H165. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L433_); trivial. % 1.10/1.27 apply (zenon_L164_); trivial. % 1.10/1.27 apply (zenon_L167_); trivial. % 1.10/1.27 apply (zenon_L168_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L433_); trivial. % 1.10/1.27 apply (zenon_L173_); trivial. % 1.10/1.27 apply (zenon_L86_); trivial. % 1.10/1.27 apply (zenon_L87_); trivial. % 1.10/1.27 (* end of lemma zenon_L434_ *) % 1.10/1.27 assert (zenon_L435_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False). % 1.10/1.27 do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.27 apply (zenon_L193_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.27 apply (zenon_L425_); trivial. % 1.10/1.27 exact (zenon_H35 zenon_H36). % 1.10/1.27 (* end of lemma zenon_L435_ *) % 1.10/1.27 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.10/1.27 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H141 zenon_H13f zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H35 zenon_H8d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.10/1.27 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.10/1.27 apply (zenon_L140_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.10/1.27 apply (zenon_L435_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.10/1.27 apply (zenon_L82_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.10/1.27 apply (zenon_L432_); trivial. % 1.10/1.27 apply (zenon_L76_); trivial. % 1.10/1.27 exact (zenon_H13f zenon_H140). % 1.10/1.27 (* end of lemma zenon_L436_ *) % 1.10/1.27 assert (zenon_L437_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.27 apply (zenon_L141_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.27 apply (zenon_L192_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.10/1.27 apply (zenon_L48_); trivial. % 1.10/1.27 apply (zenon_L436_); trivial. % 1.10/1.27 (* end of lemma zenon_L437_ *) % 1.10/1.27 assert (zenon_L438_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L437_); trivial. % 1.10/1.27 apply (zenon_L155_); trivial. % 1.10/1.27 (* end of lemma zenon_L438_ *) % 1.10/1.27 assert (zenon_L439_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_L438_); trivial. % 1.10/1.27 apply (zenon_L148_); trivial. % 1.10/1.27 apply (zenon_L150_); trivial. % 1.10/1.27 (* end of lemma zenon_L439_ *) % 1.10/1.27 assert (zenon_L440_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H165 zenon_H158 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H4b zenon_H1b9 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_L439_); trivial. % 1.10/1.27 apply (zenon_L180_); trivial. % 1.10/1.27 (* end of lemma zenon_L440_ *) % 1.10/1.27 assert (zenon_L441_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L426_); trivial. % 1.10/1.27 apply (zenon_L155_); trivial. % 1.10/1.27 (* end of lemma zenon_L441_ *) % 1.10/1.27 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_L441_); trivial. % 1.10/1.27 apply (zenon_L86_); trivial. % 1.10/1.27 (* end of lemma zenon_L442_ *) % 1.10/1.27 assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_Hc zenon_Hd zenon_He zenon_H4b. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L437_); trivial. % 1.10/1.27 apply (zenon_L387_); trivial. % 1.10/1.27 apply (zenon_L86_); trivial. % 1.10/1.27 apply (zenon_L205_); trivial. % 1.10/1.27 (* end of lemma zenon_L443_ *) % 1.10/1.27 assert (zenon_L444_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H285 zenon_H1cd zenon_H1c6 zenon_H1ed zenon_H1cb zenon_H201 zenon_H1ae zenon_H1db zenon_H189 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_H1a3 zenon_H18d zenon_H19f zenon_H19d zenon_H1a1 zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H16f zenon_H147 zenon_H154 zenon_H158 zenon_H165 zenon_H141 zenon_H13f zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_H105 zenon_H107 zenon_H10e zenon_H111 zenon_H13e zenon_H13a zenon_H139 zenon_H12a zenon_H126 zenon_H117 zenon_H286. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.10/1.27 apply (zenon_L348_); trivial. % 1.10/1.27 apply (zenon_L431_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.27 apply (zenon_L4_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L433_); trivial. % 1.10/1.27 apply (zenon_L138_); trivial. % 1.10/1.27 apply (zenon_L86_); trivial. % 1.10/1.27 apply (zenon_L87_); trivial. % 1.10/1.27 apply (zenon_L25_); trivial. % 1.10/1.27 apply (zenon_L45_); trivial. % 1.10/1.27 apply (zenon_L114_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L434_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_L440_); trivial. % 1.10/1.27 apply (zenon_L87_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L434_); trivial. % 1.10/1.27 apply (zenon_L442_); trivial. % 1.10/1.27 apply (zenon_L25_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L199_); trivial. % 1.10/1.27 apply (zenon_L443_); trivial. % 1.10/1.27 apply (zenon_L430_); trivial. % 1.10/1.27 apply (zenon_L115_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L216_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L426_); trivial. % 1.10/1.27 apply (zenon_L213_); trivial. % 1.10/1.27 apply (zenon_L86_); trivial. % 1.10/1.27 apply (zenon_L168_); trivial. % 1.10/1.27 apply (zenon_L214_); trivial. % 1.10/1.27 apply (zenon_L115_); trivial. % 1.10/1.27 apply (zenon_L223_); trivial. % 1.10/1.27 apply (zenon_L224_); trivial. % 1.10/1.27 apply (zenon_L431_); trivial. % 1.10/1.27 (* end of lemma zenon_L444_ *) % 1.10/1.27 assert (zenon_L445_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp19)) -> False). % 1.10/1.27 do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_Hd7 zenon_Ha zenon_H275 zenon_H274 zenon_H276 zenon_Hd9 zenon_H35. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.27 apply (zenon_L22_); trivial. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.27 apply (zenon_L425_); trivial. % 1.10/1.27 exact (zenon_H35 zenon_H36). % 1.10/1.27 (* end of lemma zenon_L445_ *) % 1.10/1.27 assert (zenon_L446_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ca zenon_H21c zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L445_); trivial. % 1.10/1.27 apply (zenon_L147_); trivial. % 1.10/1.27 apply (zenon_L148_); trivial. % 1.10/1.27 apply (zenon_L241_); trivial. % 1.10/1.27 (* end of lemma zenon_L446_ *) % 1.10/1.27 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_L31_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_L446_); trivial. % 1.10/1.27 apply (zenon_L293_); trivial. % 1.10/1.27 (* end of lemma zenon_L447_ *) % 1.10/1.27 assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H43 zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L240_); trivial. % 1.10/1.27 apply (zenon_L447_); trivial. % 1.10/1.27 (* end of lemma zenon_L448_ *) % 1.10/1.27 assert (zenon_L449_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H139 zenon_H165. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_L237_); trivial. % 1.10/1.27 apply (zenon_L100_); trivial. % 1.10/1.27 apply (zenon_L270_); trivial. % 1.10/1.27 (* end of lemma zenon_L449_ *) % 1.10/1.27 assert (zenon_L450_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7c zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H111 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_L235_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_L236_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L238_); trivial. % 1.10/1.27 apply (zenon_L448_); trivial. % 1.10/1.27 apply (zenon_L449_); trivial. % 1.10/1.27 (* end of lemma zenon_L450_ *) % 1.10/1.27 assert (zenon_L451_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H80 zenon_H62 zenon_H4b zenon_H46 zenon_H3 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H107 zenon_H165. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_L236_); trivial. % 1.10/1.27 apply (zenon_L35_); trivial. % 1.10/1.27 (* end of lemma zenon_L451_ *) % 1.10/1.27 assert (zenon_L452_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H98 zenon_H46 zenon_H3 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_L450_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_L235_); trivial. % 1.10/1.27 apply (zenon_L451_); trivial. % 1.10/1.27 (* end of lemma zenon_L452_ *) % 1.10/1.27 assert (zenon_L453_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H178 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H111 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H46 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.10/1.27 apply (zenon_L227_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.27 apply (zenon_L452_); trivial. % 1.10/1.27 apply (zenon_L37_); trivial. % 1.10/1.27 (* end of lemma zenon_L453_ *) % 1.10/1.27 assert (zenon_L454_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H4b zenon_H1ae zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H111. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L426_); trivial. % 1.10/1.27 apply (zenon_L147_); trivial. % 1.10/1.27 apply (zenon_L148_); trivial. % 1.10/1.27 (* end of lemma zenon_L454_ *) % 1.10/1.27 assert (zenon_L455_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H1ae zenon_H4b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.27 apply (zenon_L454_); trivial. % 1.10/1.27 apply (zenon_L168_); trivial. % 1.10/1.27 (* end of lemma zenon_L455_ *) % 1.10/1.27 assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L240_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.27 apply (zenon_L40_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_L455_); trivial. % 1.10/1.27 apply (zenon_L232_); trivial. % 1.10/1.27 (* end of lemma zenon_L456_ *) % 1.10/1.27 assert (zenon_L457_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L52_); trivial. % 1.10/1.27 apply (zenon_L456_); trivial. % 1.10/1.27 apply (zenon_L25_); trivial. % 1.10/1.27 apply (zenon_L28_); trivial. % 1.10/1.27 (* end of lemma zenon_L457_ *) % 1.10/1.27 assert (zenon_L458_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H98 zenon_H139 zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H19d zenon_H21c zenon_H7e zenon_H237 zenon_H1e0 zenon_H23a zenon_H1c6 zenon_H12a zenon_H126 zenon_H117 zenon_H3 zenon_H46 zenon_H247 zenon_H96. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.27 apply (zenon_L457_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L264_); trivial. % 1.10/1.27 apply (zenon_L456_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L264_); trivial. % 1.10/1.27 apply (zenon_L448_); trivial. % 1.10/1.27 apply (zenon_L271_); trivial. % 1.10/1.27 apply (zenon_L278_); trivial. % 1.10/1.27 (* end of lemma zenon_L458_ *) % 1.10/1.27 assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.27 apply (zenon_L240_); trivial. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.27 apply (zenon_L455_); trivial. % 1.10/1.27 apply (zenon_L214_); trivial. % 1.10/1.27 (* end of lemma zenon_L459_ *) % 1.10/1.27 assert (zenon_L460_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L285_); trivial. % 1.10/1.27 apply (zenon_L459_); trivial. % 1.10/1.27 (* end of lemma zenon_L460_ *) % 1.10/1.27 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H5d zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.27 apply (zenon_L285_); trivial. % 1.10/1.27 apply (zenon_L448_); trivial. % 1.10/1.27 (* end of lemma zenon_L461_ *) % 1.10/1.27 assert (zenon_L462_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H92 zenon_H98 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.27 apply (zenon_L450_); trivial. % 1.10/1.27 apply (zenon_L307_); trivial. % 1.10/1.27 (* end of lemma zenon_L462_ *) % 1.10/1.27 assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H111 zenon_H139 zenon_H247 zenon_H96 zenon_H13e zenon_H1cd zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H8d zenon_H46 zenon_H4b zenon_H98. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.10/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.27 apply (zenon_L248_); trivial. % 1.10/1.27 apply (zenon_L462_); trivial. % 1.10/1.27 (* end of lemma zenon_L463_ *) % 1.10/1.27 assert (zenon_L464_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.10/1.27 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d. % 1.10/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.27 apply (zenon_L426_); trivial. % 1.10/1.27 apply (zenon_L313_); trivial. % 1.10/1.27 (* end of lemma zenon_L464_ *) % 1.10/1.27 assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L464_); trivial. % 1.10/1.28 apply (zenon_L86_); trivial. % 1.10/1.28 apply (zenon_L442_); trivial. % 1.10/1.28 (* end of lemma zenon_L465_ *) % 1.10/1.28 assert (zenon_L466_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c0_1 (a2410)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13e zenon_Hc zenon_Hd zenon_He zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H59 zenon_H18d zenon_H117 zenon_H1ed zenon_H1e8 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H1ae zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_L311_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_L439_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L438_); trivial. % 1.10/1.28 apply (zenon_L292_); trivial. % 1.10/1.28 apply (zenon_L465_); trivial. % 1.10/1.28 (* end of lemma zenon_L466_ *) % 1.10/1.28 assert (zenon_L467_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e8 zenon_H1ed zenon_H117 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_Hca zenon_H12a zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a zenon_He zenon_Hd zenon_Hc zenon_H13e. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.28 apply (zenon_L466_); trivial. % 1.10/1.28 apply (zenon_L45_); trivial. % 1.10/1.28 (* end of lemma zenon_L467_ *) % 1.10/1.28 assert (zenon_L468_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.28 apply (zenon_L31_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.28 apply (zenon_L333_); trivial. % 1.10/1.28 apply (zenon_L150_); trivial. % 1.10/1.28 apply (zenon_L232_); trivial. % 1.10/1.28 (* end of lemma zenon_L468_ *) % 1.10/1.28 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1b9 zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.28 apply (zenon_L31_); trivial. % 1.10/1.28 apply (zenon_L284_); trivial. % 1.10/1.28 (* end of lemma zenon_L469_ *) % 1.10/1.28 assert (zenon_L470_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1cd zenon_H4e zenon_Hb3 zenon_H65 zenon_H64 zenon_H66 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H107 zenon_H43 zenon_H1b9 zenon_H117 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_H1db zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H158 zenon_H165 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7 zenon_H189 zenon_H13a. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_L311_); trivial. % 1.10/1.28 apply (zenon_L206_); trivial. % 1.10/1.28 (* end of lemma zenon_L470_ *) % 1.10/1.28 assert (zenon_L471_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c0_1 (a2410)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H105 zenon_H13e zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H141 zenon_H13f zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H147 zenon_H139 zenon_H1ed zenon_H1e8 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H201 zenon_H158 zenon_H1ae zenon_H18d zenon_H1cd zenon_H62. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_L339_); trivial. % 1.10/1.28 apply (zenon_L465_); trivial. % 1.10/1.28 apply (zenon_L115_); trivial. % 1.10/1.28 apply (zenon_L344_); trivial. % 1.10/1.28 (* end of lemma zenon_L471_ *) % 1.10/1.28 assert (zenon_L472_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L464_); trivial. % 1.10/1.28 apply (zenon_L19_); trivial. % 1.10/1.28 (* end of lemma zenon_L472_ *) % 1.10/1.28 assert (zenon_L473_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_L446_); trivial. % 1.10/1.28 apply (zenon_L214_); trivial. % 1.10/1.28 (* end of lemma zenon_L473_ *) % 1.10/1.28 assert (zenon_L474_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a2417))) -> (c1_1 (a2410)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H19f zenon_H66 zenon_H64 zenon_H184 zenon_H65 zenon_H191 zenon_H18f zenon_H190 zenon_Ha zenon_H123. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.10/1.28 apply (zenon_L186_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.10/1.28 apply (zenon_L132_); trivial. % 1.10/1.28 exact (zenon_H123 zenon_H124). % 1.10/1.28 (* end of lemma zenon_L474_ *) % 1.10/1.28 assert (zenon_L475_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp28)) -> (~(hskp9)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H247 zenon_H7c zenon_Haf zenon_H2c zenon_H2b zenon_H2a zenon_H23a zenon_H123 zenon_Ha zenon_H190 zenon_H191 zenon_H65 zenon_H64 zenon_H66 zenon_H19f zenon_H229 zenon_H3. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.10/1.28 apply (zenon_L43_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.10/1.28 apply (zenon_L13_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ]. % 1.10/1.28 apply (zenon_L474_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ]. % 1.10/1.28 exact (zenon_H229 zenon_H22a). % 1.10/1.28 exact (zenon_H3 zenon_H4). % 1.10/1.28 (* end of lemma zenon_L475_ *) % 1.10/1.28 assert (zenon_L476_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.10/1.28 apply (zenon_L322_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.10/1.28 apply (zenon_L254_); trivial. % 1.10/1.28 exact (zenon_H7c zenon_H7d). % 1.10/1.28 (* end of lemma zenon_L476_ *) % 1.10/1.28 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp10)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H234 zenon_H247 zenon_H43 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H2c zenon_H2b zenon_H2a zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H7c. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.10/1.28 apply (zenon_L81_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.10/1.28 apply (zenon_L13_); trivial. % 1.10/1.28 apply (zenon_L476_); trivial. % 1.10/1.28 (* end of lemma zenon_L477_ *) % 1.10/1.28 assert (zenon_L478_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H6d zenon_H1cd zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H237 zenon_H1e8 zenon_H1a1 zenon_H43 zenon_H107 zenon_Haf zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H189 zenon_H13a zenon_H4e. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.28 apply (zenon_L31_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.28 apply (zenon_L475_); trivial. % 1.10/1.28 apply (zenon_L477_); trivial. % 1.10/1.28 apply (zenon_L126_); trivial. % 1.10/1.28 apply (zenon_L269_); trivial. % 1.10/1.28 (* end of lemma zenon_L478_ *) % 1.10/1.28 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H92 zenon_H98 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13f zenon_H141 zenon_H4b zenon_H7e zenon_H1c6 zenon_H96. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.28 apply (zenon_L345_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_L238_); trivial. % 1.10/1.28 apply (zenon_L465_); trivial. % 1.10/1.28 apply (zenon_L45_); trivial. % 1.10/1.28 apply (zenon_L347_); trivial. % 1.10/1.28 (* end of lemma zenon_L479_ *) % 1.10/1.28 assert (zenon_L480_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_H1e0 zenon_H10e zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H1cd. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_L406_); trivial. % 1.10/1.28 apply (zenon_L459_); trivial. % 1.10/1.28 (* end of lemma zenon_L480_ *) % 1.10/1.28 assert (zenon_L481_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13a zenon_H139 zenon_H145 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.28 apply (zenon_L360_); trivial. % 1.10/1.28 apply (zenon_L94_); trivial. % 1.10/1.28 (* end of lemma zenon_L481_ *) % 1.10/1.28 assert (zenon_L482_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H165 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.28 apply (zenon_L481_); trivial. % 1.10/1.28 apply (zenon_L96_); trivial. % 1.10/1.28 apply (zenon_L100_); trivial. % 1.10/1.28 (* end of lemma zenon_L482_ *) % 1.10/1.28 assert (zenon_L483_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H6d zenon_H13e zenon_H1cd zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H189 zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H165. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_L482_); trivial. % 1.10/1.28 apply (zenon_L270_); trivial. % 1.10/1.28 (* end of lemma zenon_L483_ *) % 1.10/1.28 assert (zenon_L484_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp23)) -> (~(hskp14)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H270 zenon_H123 zenon_Hc3 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H126 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H190 zenon_H1e8 zenon_H191. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H119 | zenon_intro zenon_H129 ]. % 1.10/1.28 apply (zenon_L144_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H124 ]. % 1.10/1.28 exact (zenon_Hc3 zenon_Hc4). % 1.10/1.28 exact (zenon_H123 zenon_H124). % 1.10/1.28 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.10/1.28 apply (zenon_L349_); trivial. % 1.10/1.28 apply (zenon_L191_); trivial. % 1.10/1.28 (* end of lemma zenon_L484_ *) % 1.10/1.28 assert (zenon_L485_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp29)) -> False). % 1.10/1.28 do 0 intro. intros zenon_H16f zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_Hb1 zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7 zenon_Hef zenon_Hed. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.10/1.28 apply (zenon_L435_); trivial. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.10/1.28 apply (zenon_L366_); trivial. % 1.10/1.28 exact (zenon_Hed zenon_Hee). % 1.10/1.28 (* end of lemma zenon_L485_ *) % 1.10/1.28 assert (zenon_L486_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H35 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H12d zenon_H12c zenon_H12b zenon_H1ae zenon_H16f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.28 apply (zenon_L485_); trivial. % 1.10/1.28 apply (zenon_L177_); trivial. % 1.10/1.28 (* end of lemma zenon_L486_ *) % 1.10/1.28 assert (zenon_L487_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.28 apply (zenon_L192_); trivial. % 1.10/1.28 apply (zenon_L486_); trivial. % 1.10/1.28 (* end of lemma zenon_L487_ *) % 1.10/1.28 assert (zenon_L488_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H35 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.28 apply (zenon_L484_); trivial. % 1.10/1.28 apply (zenon_L487_); trivial. % 1.10/1.28 (* end of lemma zenon_L488_ *) % 1.10/1.28 assert (zenon_L489_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hc3 zenon_H126 zenon_H1ed zenon_H35 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_H13a. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.28 apply (zenon_L488_); trivial. % 1.10/1.28 apply (zenon_L155_); trivial. % 1.10/1.28 (* end of lemma zenon_L489_ *) % 1.10/1.28 assert (zenon_L490_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hc3 zenon_H126 zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H13a zenon_H145 zenon_H1b9 zenon_H4b. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L489_); trivial. % 1.10/1.28 apply (zenon_L148_); trivial. % 1.10/1.28 apply (zenon_L150_); trivial. % 1.10/1.28 (* end of lemma zenon_L490_ *) % 1.10/1.28 assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_L490_); trivial. % 1.10/1.28 apply (zenon_L214_); trivial. % 1.10/1.28 (* end of lemma zenon_L491_ *) % 1.10/1.28 assert (zenon_L492_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.28 apply (zenon_L426_); trivial. % 1.10/1.28 apply (zenon_L356_); trivial. % 1.10/1.28 (* end of lemma zenon_L492_ *) % 1.10/1.28 assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L441_); trivial. % 1.10/1.28 apply (zenon_L409_); trivial. % 1.10/1.28 (* end of lemma zenon_L493_ *) % 1.10/1.28 assert (zenon_L494_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H13e zenon_H1d9 zenon_H25 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H1cd. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_L362_); trivial. % 1.10/1.28 apply (zenon_L491_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_L492_); trivial. % 1.10/1.28 apply (zenon_L167_); trivial. % 1.10/1.28 apply (zenon_L168_); trivial. % 1.10/1.28 apply (zenon_L214_); trivial. % 1.10/1.28 apply (zenon_L493_); trivial. % 1.10/1.28 (* end of lemma zenon_L494_ *) % 1.10/1.28 assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.28 apply (zenon_L445_); trivial. % 1.10/1.28 apply (zenon_L408_); trivial. % 1.10/1.28 apply (zenon_L409_); trivial. % 1.10/1.28 (* end of lemma zenon_L495_ *) % 1.10/1.28 assert (zenon_L496_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H111 zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_L384_); trivial. % 1.10/1.28 apply (zenon_L495_); trivial. % 1.10/1.28 (* end of lemma zenon_L496_ *) % 1.10/1.28 assert (zenon_L497_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H96 zenon_H1c6 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1ed zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H201 zenon_H107 zenon_H4e zenon_H37 zenon_H7e zenon_H62 zenon_H1cd zenon_H165 zenon_H1db zenon_H4b zenon_H1b9 zenon_H10e zenon_H1e0 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_Hd9 zenon_H13e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.28 apply (zenon_L381_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.28 apply (zenon_L494_); trivial. % 1.10/1.28 apply (zenon_L496_); trivial. % 1.10/1.28 apply (zenon_L45_); trivial. % 1.10/1.28 (* end of lemma zenon_L497_ *) % 1.10/1.28 assert (zenon_L498_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H4b zenon_Hca zenon_H270 zenon_H105 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H187 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.28 apply (zenon_L361_); trivial. % 1.10/1.28 apply (zenon_L196_); trivial. % 1.10/1.28 apply (zenon_L389_); trivial. % 1.10/1.28 (* end of lemma zenon_L498_ *) % 1.10/1.28 assert (zenon_L499_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.10/1.28 apply (zenon_L140_); trivial. % 1.10/1.28 apply (zenon_L395_); trivial. % 1.10/1.28 (* end of lemma zenon_L499_ *) % 1.10/1.28 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H10d zenon_H201 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.28 apply (zenon_L192_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.28 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.10/1.28 apply (zenon_L48_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.10/1.28 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.10/1.28 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.28 apply (zenon_L499_); trivial. % 1.10/1.28 apply (zenon_L161_); trivial. % 1.10/1.28 (* end of lemma zenon_L500_ *) % 1.10/1.28 assert (zenon_L501_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.28 apply (zenon_L498_); trivial. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.28 apply (zenon_L488_); trivial. % 1.10/1.28 apply (zenon_L500_); trivial. % 1.10/1.28 apply (zenon_L389_); trivial. % 1.10/1.28 apply (zenon_L168_); trivial. % 1.10/1.28 apply (zenon_L390_); trivial. % 1.10/1.28 (* end of lemma zenon_L501_ *) % 1.10/1.28 assert (zenon_L502_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H139 zenon_Hc zenon_Hd zenon_He zenon_H13e. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.28 apply (zenon_L501_); trivial. % 1.10/1.28 apply (zenon_L404_); trivial. % 1.10/1.28 apply (zenon_L405_); trivial. % 1.10/1.28 (* end of lemma zenon_L502_ *) % 1.10/1.28 assert (zenon_L503_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.28 do 0 intro. intros zenon_H62 zenon_H86 zenon_H85 zenon_H84 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H1d9 zenon_H13e. % 1.10/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.28 apply (zenon_L494_); trivial. % 1.10/1.28 apply (zenon_L410_); trivial. % 1.10/1.28 (* end of lemma zenon_L503_ *) % 1.10/1.28 assert (zenon_L504_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L376_); trivial. % 1.10/1.29 apply (zenon_L456_); trivial. % 1.10/1.29 (* end of lemma zenon_L504_ *) % 1.10/1.29 assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L490_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_L489_); trivial. % 1.10/1.29 apply (zenon_L292_); trivial. % 1.10/1.29 apply (zenon_L150_); trivial. % 1.10/1.29 (* end of lemma zenon_L505_ *) % 1.10/1.29 assert (zenon_L506_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H13e zenon_H5e zenon_H13a zenon_H189 zenon_Hb7 zenon_H5b zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H117 zenon_H59 zenon_H18d zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L311_); trivial. % 1.10/1.29 apply (zenon_L505_); trivial. % 1.10/1.29 apply (zenon_L414_); trivial. % 1.10/1.29 (* end of lemma zenon_L506_ *) % 1.10/1.29 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L334_); trivial. % 1.10/1.29 apply (zenon_L232_); trivial. % 1.10/1.29 (* end of lemma zenon_L507_ *) % 1.10/1.29 assert (zenon_L508_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_L464_); trivial. % 1.10/1.29 apply (zenon_L382_); trivial. % 1.10/1.29 (* end of lemma zenon_L508_ *) % 1.10/1.29 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L508_); trivial. % 1.10/1.29 apply (zenon_L493_); trivial. % 1.10/1.29 (* end of lemma zenon_L509_ *) % 1.10/1.29 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L490_); trivial. % 1.10/1.29 apply (zenon_L232_); trivial. % 1.10/1.29 (* end of lemma zenon_L510_ *) % 1.10/1.29 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H13a zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_L31_); trivial. % 1.10/1.29 apply (zenon_L510_); trivial. % 1.10/1.29 (* end of lemma zenon_L511_ *) % 1.10/1.29 assert (zenon_L512_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H96 zenon_H4e zenon_H1d9 zenon_H7e zenon_H62 zenon_H13e zenon_H5e zenon_H13a zenon_H189 zenon_Hb7 zenon_H1 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H12a zenon_Hca zenon_H1ca zenon_H1c6 zenon_H43 zenon_H111 zenon_H117 zenon_H18d zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H1cd zenon_Haf zenon_H7c zenon_Hb3 zenon_H97. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_L506_); trivial. % 1.10/1.29 apply (zenon_L45_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_L31_); trivial. % 1.10/1.29 apply (zenon_L507_); trivial. % 1.10/1.29 apply (zenon_L505_); trivial. % 1.10/1.29 apply (zenon_L509_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L445_); trivial. % 1.10/1.29 apply (zenon_L313_); trivial. % 1.10/1.29 apply (zenon_L382_); trivial. % 1.10/1.29 apply (zenon_L511_); trivial. % 1.10/1.29 apply (zenon_L509_); trivial. % 1.10/1.29 apply (zenon_L45_); trivial. % 1.10/1.29 (* end of lemma zenon_L512_ *) % 1.10/1.29 assert (zenon_L513_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H13e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H158 zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hca zenon_H19f zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca zenon_H270 zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H1cd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L421_); trivial. % 1.10/1.29 apply (zenon_L491_); trivial. % 1.10/1.29 apply (zenon_L509_); trivial. % 1.10/1.29 (* end of lemma zenon_L513_ *) % 1.10/1.29 assert (zenon_L514_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (ndr1_0) -> (forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46)))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1bb zenon_Ha zenon_H83 zenon_H28a zenon_H28b zenon_H28c. % 1.10/1.29 generalize (zenon_H1bb (a2404)). zenon_intro zenon_H28d. % 1.10/1.29 apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_H9 | zenon_intro zenon_H28e ]. % 1.10/1.29 exact (zenon_H9 zenon_Ha). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H290 | zenon_intro zenon_H28f ]. % 1.10/1.29 generalize (zenon_H83 (a2404)). zenon_intro zenon_H291. % 1.10/1.29 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H9 | zenon_intro zenon_H292 ]. % 1.10/1.29 exact (zenon_H9 zenon_Ha). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ]. % 1.10/1.29 exact (zenon_H28a zenon_H294). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ]. % 1.10/1.29 exact (zenon_H28b zenon_H296). % 1.10/1.29 exact (zenon_H295 zenon_H290). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H297 | zenon_intro zenon_H296 ]. % 1.10/1.29 exact (zenon_H28c zenon_H297). % 1.10/1.29 exact (zenon_H28b zenon_H296). % 1.10/1.29 (* end of lemma zenon_L514_ *) % 1.10/1.29 assert (zenon_L515_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.10/1.29 do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.29 apply (zenon_L56_); trivial. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.29 apply (zenon_L514_); trivial. % 1.10/1.29 exact (zenon_H35 zenon_H36). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.10/1.29 apply (zenon_L56_); trivial. % 1.10/1.29 apply (zenon_L139_); trivial. % 1.10/1.29 (* end of lemma zenon_L515_ *) % 1.10/1.29 assert (zenon_L516_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L515_); trivial. % 1.10/1.29 apply (zenon_L155_); trivial. % 1.10/1.29 apply (zenon_L86_); trivial. % 1.10/1.29 (* end of lemma zenon_L516_ *) % 1.10/1.29 assert (zenon_L517_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_H111 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H1 zenon_H5b zenon_Hb7 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H21c zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L515_); trivial. % 1.10/1.29 apply (zenon_L387_); trivial. % 1.10/1.29 apply (zenon_L86_); trivial. % 1.10/1.29 apply (zenon_L205_); trivial. % 1.10/1.29 (* end of lemma zenon_L517_ *) % 1.10/1.29 assert (zenon_L518_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H111. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L515_); trivial. % 1.10/1.29 apply (zenon_L147_); trivial. % 1.10/1.29 apply (zenon_L148_); trivial. % 1.10/1.29 (* end of lemma zenon_L518_ *) % 1.10/1.29 assert (zenon_L519_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H1b9 zenon_H145 zenon_H59 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ae zenon_H4b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.29 apply (zenon_L518_); trivial. % 1.10/1.29 apply (zenon_L168_); trivial. % 1.10/1.29 (* end of lemma zenon_L519_ *) % 1.10/1.29 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L519_); trivial. % 1.10/1.29 apply (zenon_L214_); trivial. % 1.10/1.29 (* end of lemma zenon_L520_ *) % 1.10/1.29 assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H234 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.10/1.29 apply (zenon_L33_); trivial. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.10/1.29 apply (zenon_L49_); trivial. % 1.10/1.29 apply (zenon_L254_); trivial. % 1.10/1.29 (* end of lemma zenon_L521_ *) % 1.10/1.29 assert (zenon_L522_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (c2_1 (a2411)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.10/1.29 do 0 intro. intros zenon_Hca zenon_H237 zenon_H105 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H9b zenon_H9a zenon_H9c zenon_Hcc zenon_Hcd zenon_Hd7 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7. % 1.10/1.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.10/1.29 apply (zenon_L48_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.10/1.29 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.10/1.29 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.29 apply (zenon_L251_); trivial. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.29 apply (zenon_L33_); trivial. % 1.10/1.29 exact (zenon_H35 zenon_H36). % 1.10/1.29 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ]. % 1.10/1.29 exact (zenon_H227 zenon_H228). % 1.10/1.29 exact (zenon_H229 zenon_H22a). % 1.10/1.29 apply (zenon_L521_); trivial. % 1.10/1.29 (* end of lemma zenon_L522_ *) % 1.10/1.29 assert (zenon_L523_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1db zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H154 zenon_H201 zenon_H158 zenon_H1b9 zenon_H12a zenon_H1cb zenon_H117 zenon_H189 zenon_H139 zenon_H1d9 zenon_H1ca zenon_H111 zenon_H10e zenon_H27 zenon_H43 zenon_H107 zenon_Hef zenon_Hb1 zenon_Hb3 zenon_H238 zenon_H227 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H105 zenon_H237 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H1cd zenon_H13e. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L52_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L522_); trivial. % 1.10/1.29 apply (zenon_L387_); trivial. % 1.10/1.29 apply (zenon_L86_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.29 apply (zenon_L522_); trivial. % 1.10/1.29 apply (zenon_L329_); trivial. % 1.10/1.29 apply (zenon_L167_); trivial. % 1.10/1.29 apply (zenon_L168_); trivial. % 1.10/1.29 apply (zenon_L198_); trivial. % 1.10/1.29 apply (zenon_L517_); trivial. % 1.10/1.29 apply (zenon_L115_); trivial. % 1.10/1.29 (* end of lemma zenon_L523_ *) % 1.10/1.29 assert (zenon_L524_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(hskp19)) -> False). % 1.10/1.29 do 0 intro. intros zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_H1bb zenon_H35. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.29 apply (zenon_L22_); trivial. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.29 apply (zenon_L514_); trivial. % 1.10/1.29 exact (zenon_H35 zenon_H36). % 1.10/1.29 (* end of lemma zenon_L524_ *) % 1.10/1.29 assert (zenon_L525_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.10/1.29 do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.10/1.29 apply (zenon_L524_); trivial. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.10/1.29 apply (zenon_L22_); trivial. % 1.10/1.29 apply (zenon_L139_); trivial. % 1.10/1.29 (* end of lemma zenon_L525_ *) % 1.10/1.29 assert (zenon_L526_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.29 apply (zenon_L525_); trivial. % 1.10/1.29 apply (zenon_L148_); trivial. % 1.10/1.29 apply (zenon_L241_); trivial. % 1.10/1.29 (* end of lemma zenon_L526_ *) % 1.10/1.29 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ca. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L526_); trivial. % 1.10/1.29 apply (zenon_L232_); trivial. % 1.10/1.29 (* end of lemma zenon_L527_ *) % 1.10/1.29 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_L31_); trivial. % 1.10/1.29 apply (zenon_L527_); trivial. % 1.10/1.29 (* end of lemma zenon_L528_ *) % 1.10/1.29 assert (zenon_L529_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7c zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.29 apply (zenon_L235_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_L236_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L238_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L240_); trivial. % 1.10/1.29 apply (zenon_L528_); trivial. % 1.10/1.29 apply (zenon_L449_); trivial. % 1.10/1.29 (* end of lemma zenon_L529_ *) % 1.10/1.29 assert (zenon_L530_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H98 zenon_H46 zenon_H3 zenon_H97 zenon_H6e zenon_H15 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H13e zenon_H1cd zenon_H4b zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H217 zenon_H189 zenon_H13a zenon_H7e zenon_H1c6 zenon_H139 zenon_H247 zenon_H96. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.29 apply (zenon_L529_); trivial. % 1.10/1.29 apply (zenon_L247_); trivial. % 1.10/1.29 (* end of lemma zenon_L530_ *) % 1.10/1.29 assert (zenon_L531_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H178 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H6e zenon_H97 zenon_H46 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.10/1.29 apply (zenon_L227_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.29 apply (zenon_L530_); trivial. % 1.10/1.29 apply (zenon_L37_); trivial. % 1.10/1.29 (* end of lemma zenon_L531_ *) % 1.10/1.29 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_L40_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.29 apply (zenon_L519_); trivial. % 1.10/1.29 apply (zenon_L232_); trivial. % 1.10/1.29 (* end of lemma zenon_L532_ *) % 1.10/1.29 assert (zenon_L533_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L240_); trivial. % 1.10/1.29 apply (zenon_L532_); trivial. % 1.10/1.29 (* end of lemma zenon_L533_ *) % 1.10/1.29 assert (zenon_L534_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L52_); trivial. % 1.10/1.29 apply (zenon_L533_); trivial. % 1.10/1.29 apply (zenon_L25_); trivial. % 1.10/1.29 apply (zenon_L28_); trivial. % 1.10/1.29 (* end of lemma zenon_L534_ *) % 1.10/1.29 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.29 apply (zenon_L40_); trivial. % 1.10/1.29 apply (zenon_L527_); trivial. % 1.10/1.29 (* end of lemma zenon_L535_ *) % 1.10/1.29 assert (zenon_L536_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H111 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L281_); trivial. % 1.10/1.29 apply (zenon_L535_); trivial. % 1.10/1.29 (* end of lemma zenon_L536_ *) % 1.10/1.29 assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H43 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L240_); trivial. % 1.10/1.29 apply (zenon_L535_); trivial. % 1.10/1.29 (* end of lemma zenon_L537_ *) % 1.10/1.29 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H5d zenon_H13e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L536_); trivial. % 1.10/1.29 apply (zenon_L537_); trivial. % 1.10/1.29 (* end of lemma zenon_L538_ *) % 1.10/1.29 assert (zenon_L539_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H98 zenon_H139 zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H237 zenon_H1e0 zenon_H23a zenon_H1c6 zenon_H12a zenon_H126 zenon_H117 zenon_H3 zenon_H46 zenon_H247 zenon_H7e zenon_H96. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.29 apply (zenon_L534_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L264_); trivial. % 1.10/1.29 apply (zenon_L533_); trivial. % 1.10/1.29 apply (zenon_L538_); trivial. % 1.10/1.29 apply (zenon_L271_); trivial. % 1.10/1.29 apply (zenon_L278_); trivial. % 1.10/1.29 (* end of lemma zenon_L539_ *) % 1.10/1.29 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.29 apply (zenon_L240_); trivial. % 1.10/1.29 apply (zenon_L520_); trivial. % 1.10/1.29 (* end of lemma zenon_L540_ *) % 1.10/1.29 assert (zenon_L541_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.29 apply (zenon_L285_); trivial. % 1.10/1.29 apply (zenon_L540_); trivial. % 1.10/1.29 (* end of lemma zenon_L541_ *) % 1.10/1.29 assert (zenon_L542_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H95 zenon_Hb1 zenon_Hb3 zenon_H13f zenon_H141 zenon_H10e zenon_H16f zenon_H19d zenon_H158 zenon_H154 zenon_H147 zenon_H96 zenon_H7e zenon_H247 zenon_H46 zenon_H117 zenon_H126 zenon_H12a zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H237 zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H139 zenon_H98. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.29 apply (zenon_L539_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.29 apply (zenon_L534_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_L541_); trivial. % 1.10/1.29 apply (zenon_L538_); trivial. % 1.10/1.29 apply (zenon_L363_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.29 apply (zenon_L534_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.29 apply (zenon_L541_); trivial. % 1.10/1.29 apply (zenon_L115_); trivial. % 1.10/1.29 apply (zenon_L110_); trivial. % 1.10/1.29 (* end of lemma zenon_L542_ *) % 1.10/1.29 assert (zenon_L543_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.10/1.29 do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H46 zenon_H98. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.29 apply (zenon_L530_); trivial. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.29 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.29 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.29 apply (zenon_L529_); trivial. % 1.10/1.29 apply (zenon_L307_); trivial. % 1.10/1.29 (* end of lemma zenon_L543_ *) % 1.10/1.29 assert (zenon_L544_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L315_); trivial. % 1.10/1.30 apply (zenon_L516_); trivial. % 1.10/1.30 (* end of lemma zenon_L544_ *) % 1.10/1.30 assert (zenon_L545_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H10e zenon_H1e0 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H18d zenon_H59 zenon_H111 zenon_H1c6 zenon_H7c zenon_H7e zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L335_); trivial. % 1.10/1.30 apply (zenon_L469_); trivial. % 1.10/1.30 (* end of lemma zenon_L545_ *) % 1.10/1.30 assert (zenon_L546_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(hskp19)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_H1bb zenon_H35. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.10/1.30 apply (zenon_L193_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.10/1.30 apply (zenon_L514_); trivial. % 1.10/1.30 exact (zenon_H35 zenon_H36). % 1.10/1.30 (* end of lemma zenon_L546_ *) % 1.10/1.30 assert (zenon_L547_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.10/1.30 apply (zenon_L546_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.10/1.30 apply (zenon_L193_); trivial. % 1.10/1.30 apply (zenon_L317_); trivial. % 1.10/1.30 (* end of lemma zenon_L547_ *) % 1.10/1.30 assert (zenon_L548_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H16f zenon_H123 zenon_H190 zenon_H191 zenon_H19f zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.10/1.30 apply (zenon_L547_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.10/1.30 apply (zenon_L102_); trivial. % 1.10/1.30 exact (zenon_Hed zenon_Hee). % 1.10/1.30 (* end of lemma zenon_L548_ *) % 1.10/1.30 assert (zenon_L549_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H2a zenon_H2b zenon_H2c zenon_H247 zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.30 apply (zenon_L192_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.10/1.30 apply (zenon_L548_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.10/1.30 apply (zenon_L13_); trivial. % 1.10/1.30 apply (zenon_L317_); trivial. % 1.10/1.30 apply (zenon_L177_); trivial. % 1.10/1.30 apply (zenon_L126_); trivial. % 1.10/1.30 apply (zenon_L313_); trivial. % 1.10/1.30 (* end of lemma zenon_L549_ *) % 1.10/1.30 assert (zenon_L550_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_L549_); trivial. % 1.10/1.30 apply (zenon_L167_); trivial. % 1.10/1.30 (* end of lemma zenon_L550_ *) % 1.10/1.30 assert (zenon_L551_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L31_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_L550_); trivial. % 1.10/1.30 apply (zenon_L168_); trivial. % 1.10/1.30 apply (zenon_L232_); trivial. % 1.10/1.30 (* end of lemma zenon_L551_ *) % 1.10/1.30 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_L526_); trivial. % 1.10/1.30 apply (zenon_L214_); trivial. % 1.10/1.30 (* end of lemma zenon_L552_ *) % 1.10/1.30 assert (zenon_L553_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_Hca zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L468_); trivial. % 1.10/1.30 apply (zenon_L552_); trivial. % 1.10/1.30 (* end of lemma zenon_L553_ *) % 1.10/1.30 assert (zenon_L554_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4e zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H1a1 zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_He zenon_Hd zenon_Hc zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L31_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_L550_); trivial. % 1.10/1.30 apply (zenon_L325_); trivial. % 1.10/1.30 apply (zenon_L214_); trivial. % 1.10/1.30 (* end of lemma zenon_L554_ *) % 1.10/1.30 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L342_); trivial. % 1.10/1.30 apply (zenon_L520_); trivial. % 1.10/1.30 (* end of lemma zenon_L555_ *) % 1.10/1.30 assert (zenon_L556_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H50 zenon_H51 zenon_H52 zenon_H8d zenon_H1f2 zenon_Hb zenon_H1f1 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.10/1.30 apply (zenon_L524_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.10/1.30 apply (zenon_L193_); trivial. % 1.10/1.30 apply (zenon_L317_); trivial. % 1.10/1.30 (* end of lemma zenon_L556_ *) % 1.10/1.30 assert (zenon_L557_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp23)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H16f zenon_H123 zenon_H190 zenon_H191 zenon_H19f zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H52 zenon_H51 zenon_H50 zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H75 zenon_H74 zenon_Ha6 zenon_H73 zenon_Ha zenon_Hed. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.10/1.30 apply (zenon_L556_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.10/1.30 apply (zenon_L102_); trivial. % 1.10/1.30 exact (zenon_Hed zenon_Hee). % 1.10/1.30 (* end of lemma zenon_L557_ *) % 1.10/1.30 assert (zenon_L558_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp19)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.30 do 0 intro. intros zenon_H247 zenon_Hed zenon_H21c zenon_H35 zenon_H28a zenon_H28b zenon_H28c zenon_H50 zenon_H51 zenon_H52 zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H16f zenon_H2c zenon_H2b zenon_H2a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H191 zenon_H190 zenon_Ha zenon_H123. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.10/1.30 apply (zenon_L557_); trivial. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.10/1.30 apply (zenon_L13_); trivial. % 1.10/1.30 apply (zenon_L317_); trivial. % 1.10/1.30 (* end of lemma zenon_L558_ *) % 1.10/1.30 assert (zenon_L559_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.30 apply (zenon_L192_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.30 apply (zenon_L558_); trivial. % 1.10/1.30 apply (zenon_L177_); trivial. % 1.10/1.30 apply (zenon_L126_); trivial. % 1.10/1.30 apply (zenon_L313_); trivial. % 1.10/1.30 apply (zenon_L167_); trivial. % 1.10/1.30 (* end of lemma zenon_L559_ *) % 1.10/1.30 assert (zenon_L560_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H247 zenon_H2c zenon_H2b zenon_H2a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1bc zenon_H1bd zenon_H1be zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H10e zenon_H201. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.30 apply (zenon_L192_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.30 apply (zenon_L558_); trivial. % 1.10/1.30 apply (zenon_L324_); trivial. % 1.10/1.30 apply (zenon_L126_); trivial. % 1.10/1.30 (* end of lemma zenon_L560_ *) % 1.10/1.30 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H3 zenon_H46 zenon_H1ca. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_L559_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_L560_); trivial. % 1.10/1.30 apply (zenon_L19_); trivial. % 1.10/1.30 apply (zenon_L232_); trivial. % 1.10/1.30 (* end of lemma zenon_L561_ *) % 1.10/1.30 assert (zenon_L562_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hb7 zenon_H5b zenon_H1 zenon_H238 zenon_H227 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H9c zenon_H9a zenon_H9b zenon_H59 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_Hca. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_L256_); trivial. % 1.10/1.30 apply (zenon_L313_); trivial. % 1.10/1.30 (* end of lemma zenon_L562_ *) % 1.10/1.30 assert (zenon_L563_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L40_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_L562_); trivial. % 1.10/1.30 apply (zenon_L167_); trivial. % 1.10/1.30 apply (zenon_L168_); trivial. % 1.10/1.30 apply (zenon_L232_); trivial. % 1.10/1.30 (* end of lemma zenon_L563_ *) % 1.10/1.30 assert (zenon_L564_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H46 zenon_H3 zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H111 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H247 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H1cb zenon_H165 zenon_H4e. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L40_); trivial. % 1.10/1.30 apply (zenon_L561_); trivial. % 1.10/1.30 apply (zenon_L552_); trivial. % 1.10/1.30 (* end of lemma zenon_L564_ *) % 1.10/1.30 assert (zenon_L565_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_L341_); trivial. % 1.10/1.30 apply (zenon_L232_); trivial. % 1.10/1.30 (* end of lemma zenon_L565_ *) % 1.10/1.30 assert (zenon_L566_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L40_); trivial. % 1.10/1.30 apply (zenon_L565_); trivial. % 1.10/1.30 (* end of lemma zenon_L566_ *) % 1.10/1.30 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_L204_); trivial. % 1.10/1.30 apply (zenon_L19_); trivial. % 1.10/1.30 (* end of lemma zenon_L567_ *) % 1.10/1.30 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H21c zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_L515_); trivial. % 1.10/1.30 apply (zenon_L70_); trivial. % 1.10/1.30 apply (zenon_L19_); trivial. % 1.10/1.30 apply (zenon_L567_); trivial. % 1.10/1.30 (* end of lemma zenon_L568_ *) % 1.10/1.30 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H4b zenon_H46 zenon_H3 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_H1ca zenon_H1d9 zenon_Hca zenon_H139 zenon_H189 zenon_H117 zenon_H1cb zenon_H12a zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L72_); trivial. % 1.10/1.30 apply (zenon_L330_); trivial. % 1.10/1.30 apply (zenon_L568_); trivial. % 1.10/1.30 (* end of lemma zenon_L569_ *) % 1.10/1.30 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H75 zenon_H74 zenon_H73 zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L566_); trivial. % 1.10/1.30 apply (zenon_L520_); trivial. % 1.10/1.30 (* end of lemma zenon_L570_ *) % 1.10/1.30 assert (zenon_L571_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H13e zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1d9 zenon_H25 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H59 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H1b9 zenon_H18d zenon_H23a zenon_H1e0 zenon_H1ae zenon_H237 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.30 apply (zenon_L264_); trivial. % 1.10/1.30 apply (zenon_L570_); trivial. % 1.10/1.30 (* end of lemma zenon_L571_ *) % 1.10/1.30 assert (zenon_L572_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H158 zenon_H245 zenon_H227 zenon_H9c zenon_H9b zenon_H9a zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H19f zenon_H191 zenon_H190 zenon_H247 zenon_H139 zenon_H43 zenon_H145 zenon_H147 zenon_H13a zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H111. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.30 apply (zenon_L319_); trivial. % 1.10/1.30 apply (zenon_L336_); trivial. % 1.10/1.30 apply (zenon_L266_); trivial. % 1.10/1.30 apply (zenon_L313_); trivial. % 1.10/1.30 apply (zenon_L167_); trivial. % 1.10/1.30 (* end of lemma zenon_L572_ *) % 1.10/1.30 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H13a zenon_H147 zenon_H43 zenon_H139 zenon_H247 zenon_H190 zenon_H191 zenon_H19f zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H1e0 zenon_H10e zenon_H227 zenon_H245 zenon_H158 zenon_H1b9 zenon_H4b zenon_H1cb zenon_H107 zenon_H165 zenon_H4e. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L40_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_L572_); trivial. % 1.10/1.30 apply (zenon_L168_); trivial. % 1.10/1.30 apply (zenon_L232_); trivial. % 1.10/1.30 apply (zenon_L520_); trivial. % 1.10/1.30 (* end of lemma zenon_L573_ *) % 1.10/1.30 assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp3)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H147 zenon_H139 zenon_H227 zenon_H245 zenon_H158 zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_Hca zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1d9 zenon_H1ca zenon_H7e zenon_H7c zenon_H1c6 zenon_H111 zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H4e zenon_H1cd zenon_H1a1 zenon_H1e8 zenon_H62. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.30 apply (zenon_L545_); trivial. % 1.10/1.30 apply (zenon_L573_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L31_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.30 apply (zenon_L572_); trivial. % 1.10/1.30 apply (zenon_L325_); trivial. % 1.10/1.30 apply (zenon_L214_); trivial. % 1.10/1.30 apply (zenon_L528_); trivial. % 1.10/1.30 apply (zenon_L45_); trivial. % 1.10/1.30 (* end of lemma zenon_L574_ *) % 1.10/1.30 assert (zenon_L575_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.30 apply (zenon_L376_); trivial. % 1.10/1.30 apply (zenon_L540_); trivial. % 1.10/1.30 (* end of lemma zenon_L575_ *) % 1.10/1.30 assert (zenon_L576_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H286 zenon_H139 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H13a zenon_H237 zenon_H105 zenon_H23a zenon_H217 zenon_H13e zenon_Ha3 zenon_Haf zenon_Hb1 zenon_Hb3 zenon_H247 zenon_H147 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H165 zenon_H1b9 zenon_H189 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H19d zenon_H16f zenon_H1ae zenon_H1cb zenon_Hef zenon_H1e0 zenon_H10e zenon_H1cd zenon_H111 zenon_H158 zenon_H267 zenon_H154 zenon_H257 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H18d zenon_Hd9 zenon_H1db zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.10/1.30 apply (zenon_L348_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.30 apply (zenon_L46_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.30 apply (zenon_L276_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.30 apply (zenon_L41_); trivial. % 1.10/1.30 apply (zenon_L277_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.30 apply (zenon_L359_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.30 apply (zenon_L575_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L362_); trivial. % 1.10/1.30 apply (zenon_L552_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L240_); trivial. % 1.10/1.30 apply (zenon_L552_); trivial. % 1.10/1.30 apply (zenon_L483_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.30 apply (zenon_L374_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.30 apply (zenon_L575_); trivial. % 1.10/1.30 apply (zenon_L304_); trivial. % 1.10/1.30 apply (zenon_L298_); trivial. % 1.10/1.30 apply (zenon_L380_); trivial. % 1.10/1.30 (* end of lemma zenon_L576_ *) % 1.10/1.30 assert (zenon_L577_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H4b zenon_H270 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H19d zenon_H107 zenon_H43 zenon_H105 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H201 zenon_H111. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.30 apply (zenon_L515_); trivial. % 1.10/1.30 apply (zenon_L500_); trivial. % 1.10/1.30 apply (zenon_L389_); trivial. % 1.10/1.30 (* end of lemma zenon_L577_ *) % 1.10/1.30 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H111 zenon_H27 zenon_H25 zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L397_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L577_); trivial. % 1.10/1.30 apply (zenon_L403_); trivial. % 1.10/1.30 (* end of lemma zenon_L578_ *) % 1.10/1.30 assert (zenon_L579_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.30 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H117 zenon_H111 zenon_H27 zenon_H25 zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H158 zenon_H154 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H43 zenon_H107 zenon_H105 zenon_H139 zenon_H10e zenon_Hca zenon_H201 zenon_H270 zenon_H4b. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.30 apply (zenon_L397_); trivial. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.30 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.30 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.30 apply (zenon_L577_); trivial. % 1.10/1.30 apply (zenon_L390_); trivial. % 1.10/1.30 (* end of lemma zenon_L579_ *) % 1.10/1.30 assert (zenon_L580_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H111 zenon_H117 zenon_H4e zenon_H1cd zenon_H13e. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L52_); trivial. % 1.10/1.31 apply (zenon_L579_); trivial. % 1.10/1.31 apply (zenon_L405_); trivial. % 1.10/1.31 (* end of lemma zenon_L580_ *) % 1.10/1.31 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H153 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.31 apply (zenon_L192_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.10/1.31 apply (zenon_L81_); trivial. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.10/1.31 apply (zenon_L194_); trivial. % 1.10/1.31 apply (zenon_L95_); trivial. % 1.10/1.31 (* end of lemma zenon_L581_ *) % 1.10/1.31 assert (zenon_L582_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H165 zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.31 apply (zenon_L481_); trivial. % 1.10/1.31 apply (zenon_L581_); trivial. % 1.10/1.31 apply (zenon_L19_); trivial. % 1.10/1.31 apply (zenon_L100_); trivial. % 1.10/1.31 (* end of lemma zenon_L582_ *) % 1.10/1.31 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.10/1.31 do 0 intro. intros zenon_H109 zenon_H270 zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H43 zenon_H8d zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.10/1.31 apply (zenon_L68_); trivial. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.10/1.31 apply (zenon_L349_); trivial. % 1.10/1.31 apply (zenon_L191_); trivial. % 1.10/1.31 (* end of lemma zenon_L583_ *) % 1.10/1.31 assert (zenon_L584_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H10d zenon_H158 zenon_H154 zenon_H73 zenon_H74 zenon_H75 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H270 zenon_H10e zenon_H201. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.10/1.31 apply (zenon_L192_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.31 apply (zenon_L396_); trivial. % 1.10/1.31 apply (zenon_L583_); trivial. % 1.10/1.31 apply (zenon_L581_); trivial. % 1.10/1.31 (* end of lemma zenon_L584_ *) % 1.10/1.31 assert (zenon_L585_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H6d zenon_H13e zenon_Hd9 zenon_H10e zenon_H270 zenon_H105 zenon_H16f zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H111 zenon_H4b zenon_H46 zenon_H3 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H154 zenon_H201 zenon_H158 zenon_H165. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L582_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.31 apply (zenon_L57_); trivial. % 1.10/1.31 apply (zenon_L584_); trivial. % 1.10/1.31 apply (zenon_L19_); trivial. % 1.10/1.31 (* end of lemma zenon_L585_ *) % 1.10/1.31 assert (zenon_L586_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.31 apply (zenon_L40_); trivial. % 1.10/1.31 apply (zenon_L383_); trivial. % 1.10/1.31 (* end of lemma zenon_L586_ *) % 1.10/1.31 assert (zenon_L587_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H37 zenon_H33 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4e zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L376_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_L586_); trivial. % 1.10/1.31 apply (zenon_L520_); trivial. % 1.10/1.31 (* end of lemma zenon_L587_ *) % 1.10/1.31 assert (zenon_L588_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H97 zenon_H62 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H117 zenon_H4e zenon_H1cd zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H5e zenon_Hd9 zenon_H12a zenon_H18d zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H111 zenon_H13e. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.31 apply (zenon_L358_); trivial. % 1.10/1.31 apply (zenon_L580_); trivial. % 1.10/1.31 (* end of lemma zenon_L588_ *) % 1.10/1.31 assert (zenon_L589_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L376_); trivial. % 1.10/1.31 apply (zenon_L533_); trivial. % 1.10/1.31 (* end of lemma zenon_L589_ *) % 1.10/1.31 assert (zenon_L590_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H19d zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_Hb1 zenon_Hef zenon_H10e zenon_H96 zenon_H7e zenon_H247 zenon_H46 zenon_H117 zenon_H126 zenon_H12a zenon_H1c6 zenon_H23a zenon_H1e0 zenon_H237 zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H139 zenon_H98. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.31 apply (zenon_L539_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.31 apply (zenon_L534_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_L589_); trivial. % 1.10/1.31 apply (zenon_L538_); trivial. % 1.10/1.31 apply (zenon_L298_); trivial. % 1.10/1.31 (* end of lemma zenon_L590_ *) % 1.10/1.31 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H16f zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H247 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_L549_); trivial. % 1.10/1.31 apply (zenon_L382_); trivial. % 1.10/1.31 apply (zenon_L168_); trivial. % 1.10/1.31 (* end of lemma zenon_L591_ *) % 1.10/1.31 assert (zenon_L592_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H21c zenon_H19f zenon_H50 zenon_H51 zenon_H52 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H16f zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H107 zenon_H43 zenon_H1a1 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.31 apply (zenon_L31_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.31 apply (zenon_L559_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_L560_); trivial. % 1.10/1.31 apply (zenon_L382_); trivial. % 1.10/1.31 apply (zenon_L232_); trivial. % 1.10/1.31 (* end of lemma zenon_L592_ *) % 1.10/1.31 assert (zenon_L593_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H59 zenon_H5e zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L52_); trivial. % 1.10/1.31 apply (zenon_L414_); trivial. % 1.10/1.31 (* end of lemma zenon_L593_ *) % 1.10/1.31 assert (zenon_L594_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H5e zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cd zenon_H13e. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.31 apply (zenon_L593_); trivial. % 1.10/1.31 apply (zenon_L45_); trivial. % 1.10/1.31 (* end of lemma zenon_L594_ *) % 1.10/1.31 assert (zenon_L595_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H6d zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H201 zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H154 zenon_H158 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H19d zenon_H27 zenon_H111 zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H4e zenon_H1cd zenon_H13e. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L52_); trivial. % 1.10/1.31 apply (zenon_L578_); trivial. % 1.10/1.31 apply (zenon_L405_); trivial. % 1.10/1.31 (* end of lemma zenon_L595_ *) % 1.10/1.31 assert (zenon_L596_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H175 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H126 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H96 zenon_H247 zenon_H139 zenon_H1c6 zenon_H7e zenon_H13a zenon_H189 zenon_H217 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H4b zenon_H1cd zenon_H13e zenon_H62 zenon_H5e zenon_H27 zenon_H1ca zenon_H1d9 zenon_H43 zenon_H1b9 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H15 zenon_H6e zenon_H97 zenon_H46 zenon_H98. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.10/1.31 apply (zenon_L530_); trivial. % 1.10/1.31 apply (zenon_L462_); trivial. % 1.10/1.31 (* end of lemma zenon_L596_ *) % 1.10/1.31 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_L439_); trivial. % 1.10/1.31 apply (zenon_L232_); trivial. % 1.10/1.31 (* end of lemma zenon_L597_ *) % 1.10/1.31 assert (zenon_L598_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H4b zenon_H1b9 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H117 zenon_Hef zenon_H189 zenon_H187 zenon_H43 zenon_H107 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H139 zenon_H10e zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.31 apply (zenon_L426_); trivial. % 1.10/1.31 apply (zenon_L329_); trivial. % 1.10/1.31 apply (zenon_L167_); trivial. % 1.10/1.31 apply (zenon_L168_); trivial. % 1.10/1.31 apply (zenon_L232_); trivial. % 1.10/1.31 (* end of lemma zenon_L598_ *) % 1.10/1.31 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H19d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hb7 zenon_H5b zenon_H1 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H111 zenon_H1ca zenon_H1d9 zenon_H139 zenon_H189 zenon_H117 zenon_H1cb zenon_H12a zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.31 apply (zenon_L429_); trivial. % 1.10/1.31 apply (zenon_L598_); trivial. % 1.10/1.31 apply (zenon_L517_); trivial. % 1.10/1.31 (* end of lemma zenon_L599_ *) % 1.10/1.31 assert (zenon_L600_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H1b9 zenon_H1ae zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H1ca zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H43 zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_L472_); trivial. % 1.10/1.31 apply (zenon_L552_); trivial. % 1.10/1.31 (* end of lemma zenon_L600_ *) % 1.10/1.31 assert (zenon_L601_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1d9 zenon_H1b9 zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1ae zenon_H1cb zenon_H107 zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L52_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_L472_); trivial. % 1.10/1.31 apply (zenon_L532_); trivial. % 1.10/1.31 apply (zenon_L25_); trivial. % 1.10/1.31 (* end of lemma zenon_L601_ *) % 1.10/1.31 assert (zenon_L602_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H5d zenon_H13e zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H3 zenon_H46 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L536_); trivial. % 1.10/1.31 apply (zenon_L600_); trivial. % 1.10/1.31 (* end of lemma zenon_L602_ *) % 1.10/1.31 assert (zenon_L603_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H62 zenon_H1cd zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H237 zenon_H1ae zenon_H1e0 zenon_H23a zenon_H18d zenon_H1b9 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H1d9 zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H13e. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L264_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_L472_); trivial. % 1.10/1.31 apply (zenon_L520_); trivial. % 1.10/1.31 apply (zenon_L602_); trivial. % 1.10/1.31 (* end of lemma zenon_L603_ *) % 1.10/1.31 assert (zenon_L604_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H1b9 zenon_H12a zenon_H1cb zenon_H117 zenon_H189 zenon_H187 zenon_H139 zenon_Hca zenon_H1d9 zenon_H1ca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.31 apply (zenon_L427_); trivial. % 1.10/1.31 apply (zenon_L598_); trivial. % 1.10/1.31 (* end of lemma zenon_L604_ *) % 1.10/1.31 assert (zenon_L605_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H3 zenon_H46 zenon_H4b. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.31 apply (zenon_L427_); trivial. % 1.10/1.31 apply (zenon_L567_); trivial. % 1.10/1.31 (* end of lemma zenon_L605_ *) % 1.10/1.31 assert (zenon_L606_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H13e zenon_H1cd zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L52_); trivial. % 1.10/1.31 apply (zenon_L465_); trivial. % 1.10/1.31 (* end of lemma zenon_L606_ *) % 1.10/1.31 assert (zenon_L607_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H13e zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13f zenon_H141 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H19d zenon_H18d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H1e0 zenon_H10e zenon_H1ae zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L285_); trivial. % 1.10/1.31 apply (zenon_L465_); trivial. % 1.10/1.31 (* end of lemma zenon_L607_ *) % 1.10/1.31 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H5d zenon_H13e zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1ae zenon_H18d zenon_H111 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H4e zenon_H1cd. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L536_); trivial. % 1.10/1.31 apply (zenon_L465_); trivial. % 1.10/1.31 (* end of lemma zenon_L608_ *) % 1.10/1.31 assert (zenon_L609_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H117 zenon_H10e zenon_H1e0 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_Hb3 zenon_H19d zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H139 zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H13e. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L501_); trivial. % 1.10/1.31 apply (zenon_L579_); trivial. % 1.10/1.31 apply (zenon_L405_); trivial. % 1.10/1.31 (* end of lemma zenon_L609_ *) % 1.10/1.31 assert (zenon_L610_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H10d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.31 apply (zenon_L104_); trivial. % 1.10/1.31 apply (zenon_L583_); trivial. % 1.10/1.31 (* end of lemma zenon_L610_ *) % 1.10/1.31 assert (zenon_L611_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H189 zenon_H187 zenon_H145 zenon_H1b9 zenon_H4b. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.31 apply (zenon_L426_); trivial. % 1.10/1.31 apply (zenon_L610_); trivial. % 1.10/1.31 apply (zenon_L167_); trivial. % 1.10/1.31 apply (zenon_L168_); trivial. % 1.10/1.31 (* end of lemma zenon_L611_ *) % 1.10/1.31 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H147 zenon_H154 zenon_H158 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H64 zenon_H65 zenon_H66 zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H189 zenon_H1b9 zenon_H4b zenon_H139 zenon_H165. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_L611_); trivial. % 1.10/1.31 apply (zenon_L100_); trivial. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.31 apply (zenon_L515_); trivial. % 1.10/1.31 apply (zenon_L610_); trivial. % 1.10/1.31 apply (zenon_L98_); trivial. % 1.10/1.31 apply (zenon_L100_); trivial. % 1.10/1.31 (* end of lemma zenon_L612_ *) % 1.10/1.31 assert (zenon_L613_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.31 do 0 intro. intros zenon_H6d zenon_H62 zenon_H165 zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4b zenon_H1b9 zenon_H189 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hb3 zenon_Hb1 zenon_H16f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H111 zenon_H1d9 zenon_H1ca zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1cd zenon_H13e. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.31 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.31 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.31 apply (zenon_L482_); trivial. % 1.10/1.31 apply (zenon_L612_); trivial. % 1.10/1.31 apply (zenon_L222_); trivial. % 1.10/1.31 (* end of lemma zenon_L613_ *) % 1.10/1.31 assert (zenon_L614_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H46 zenon_H3 zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H201 zenon_H10e zenon_H270 zenon_H107 zenon_H43 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H75 zenon_H74 zenon_H73 zenon_H154 zenon_H158 zenon_H111. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.32 apply (zenon_L515_); trivial. % 1.10/1.32 apply (zenon_L584_); trivial. % 1.10/1.32 apply (zenon_L19_); trivial. % 1.10/1.32 (* end of lemma zenon_L614_ *) % 1.10/1.32 assert (zenon_L615_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H6d zenon_H62 zenon_H165 zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H3 zenon_H46 zenon_H4b zenon_H1b9 zenon_H189 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H10e zenon_H270 zenon_H105 zenon_H16f zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1cd zenon_H13e. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.32 apply (zenon_L582_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.32 apply (zenon_L426_); trivial. % 1.10/1.32 apply (zenon_L584_); trivial. % 1.10/1.32 apply (zenon_L167_); trivial. % 1.10/1.32 apply (zenon_L168_); trivial. % 1.10/1.32 apply (zenon_L214_); trivial. % 1.10/1.32 apply (zenon_L614_); trivial. % 1.10/1.32 apply (zenon_L35_); trivial. % 1.10/1.32 (* end of lemma zenon_L615_ *) % 1.10/1.32 assert (zenon_L616_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.10/1.32 do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_Hcc zenon_Hcd zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.10/1.32 apply (zenon_L149_); trivial. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.10/1.32 apply (zenon_L424_); trivial. % 1.10/1.32 apply (zenon_L139_); trivial. % 1.10/1.32 (* end of lemma zenon_L616_ *) % 1.10/1.32 assert (zenon_L617_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.32 apply (zenon_L616_); trivial. % 1.10/1.32 apply (zenon_L155_); trivial. % 1.10/1.32 (* end of lemma zenon_L617_ *) % 1.10/1.32 assert (zenon_L618_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L617_); trivial. % 1.10/1.32 apply (zenon_L409_); trivial. % 1.10/1.32 (* end of lemma zenon_L618_ *) % 1.10/1.32 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1ca. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.32 apply (zenon_L454_); trivial. % 1.10/1.32 apply (zenon_L618_); trivial. % 1.10/1.32 apply (zenon_L385_); trivial. % 1.10/1.32 (* end of lemma zenon_L619_ *) % 1.10/1.32 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.32 apply (zenon_L40_); trivial. % 1.10/1.32 apply (zenon_L619_); trivial. % 1.10/1.32 (* end of lemma zenon_L620_ *) % 1.10/1.32 assert (zenon_L621_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_Ha3 zenon_H37 zenon_H33 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4e zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H19d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1cd. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.32 apply (zenon_L376_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.32 apply (zenon_L586_); trivial. % 1.10/1.32 apply (zenon_L620_); trivial. % 1.10/1.32 (* end of lemma zenon_L621_ *) % 1.10/1.32 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.32 apply (zenon_L508_); trivial. % 1.10/1.32 apply (zenon_L620_); trivial. % 1.10/1.32 (* end of lemma zenon_L622_ *) % 1.10/1.32 assert (zenon_L623_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.32 apply (zenon_L52_); trivial. % 1.10/1.32 apply (zenon_L622_); trivial. % 1.10/1.32 (* end of lemma zenon_L623_ *) % 1.10/1.32 assert (zenon_L624_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.32 apply (zenon_L623_); trivial. % 1.10/1.32 apply (zenon_L45_); trivial. % 1.10/1.32 (* end of lemma zenon_L624_ *) % 1.10/1.32 assert (zenon_L625_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (c0_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H96 zenon_H201 zenon_H10e zenon_H1e0 zenon_Hef zenon_H16f zenon_H1ed zenon_H7e zenon_H1c6 zenon_H43 zenon_H126 zenon_H107 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H24c zenon_H24d zenon_H24e zenon_H1e8 zenon_H270 zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Haf zenon_H7c zenon_Hb1 zenon_Hb3 zenon_H97. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.10/1.32 apply (zenon_L624_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.32 apply (zenon_L281_); trivial. % 1.10/1.32 apply (zenon_L511_); trivial. % 1.10/1.32 apply (zenon_L622_); trivial. % 1.10/1.32 apply (zenon_L45_); trivial. % 1.10/1.32 (* end of lemma zenon_L625_ *) % 1.10/1.32 assert (zenon_L626_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H13e zenon_H19f zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H59 zenon_H1ca zenon_H1c6 zenon_H111 zenon_H19d zenon_H18d zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1ed zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H20b zenon_H20a zenon_H209 zenon_H107 zenon_H165 zenon_H4e zenon_H1cd. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.32 apply (zenon_L260_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.32 apply (zenon_L40_); trivial. % 1.10/1.32 apply (zenon_L510_); trivial. % 1.10/1.32 apply (zenon_L509_); trivial. % 1.10/1.32 (* end of lemma zenon_L626_ *) % 1.10/1.32 assert (zenon_L627_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L259_); trivial. % 1.10/1.32 apply (zenon_L382_); trivial. % 1.10/1.32 (* end of lemma zenon_L627_ *) % 1.10/1.32 assert (zenon_L628_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> False). % 1.10/1.32 do 0 intro. intros zenon_H199 zenon_Ha zenon_H298 zenon_H299 zenon_H29a. % 1.10/1.32 generalize (zenon_H199 (a2403)). zenon_intro zenon_H29b. % 1.10/1.32 apply (zenon_imply_s _ _ zenon_H29b); [ zenon_intro zenon_H9 | zenon_intro zenon_H29c ]. % 1.10/1.32 exact (zenon_H9 zenon_Ha). % 1.10/1.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H29e | zenon_intro zenon_H29d ]. % 1.10/1.32 exact (zenon_H298 zenon_H29e). % 1.10/1.32 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29f ]. % 1.10/1.32 exact (zenon_H299 zenon_H2a0). % 1.10/1.32 exact (zenon_H29f zenon_H29a). % 1.10/1.32 (* end of lemma zenon_L628_ *) % 1.10/1.32 assert (zenon_L629_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H109 zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ]. % 1.10/1.32 apply (zenon_L95_); trivial. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ]. % 1.10/1.32 apply (zenon_L628_); trivial. % 1.10/1.32 apply (zenon_L176_); trivial. % 1.10/1.32 (* end of lemma zenon_L629_ *) % 1.10/1.32 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (c3_1 (a2432)) -> (c1_1 (a2432)) -> (~(c0_1 (a2432))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_H3c zenon_H3b zenon_H3a zenon_Hb1 zenon_Hef. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.10/1.32 apply (zenon_L166_); trivial. % 1.10/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.10/1.32 exact (zenon_Hed zenon_Hee). % 1.10/1.32 exact (zenon_Hb1 zenon_Hb2). % 1.10/1.32 apply (zenon_L629_); trivial. % 1.10/1.32 (* end of lemma zenon_L630_ *) % 1.10/1.32 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.32 apply (zenon_L97_); trivial. % 1.10/1.32 apply (zenon_L630_); trivial. % 1.10/1.32 (* end of lemma zenon_L631_ *) % 1.10/1.32 assert (zenon_L632_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H33 zenon_H37. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L16_); trivial. % 1.10/1.32 apply (zenon_L631_); trivial. % 1.10/1.32 (* end of lemma zenon_L632_ *) % 1.10/1.32 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H187 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.32 apply (zenon_L169_); trivial. % 1.10/1.32 apply (zenon_L630_); trivial. % 1.10/1.32 (* end of lemma zenon_L633_ *) % 1.10/1.32 assert (zenon_L634_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.32 apply (zenon_L632_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L16_); trivial. % 1.10/1.32 apply (zenon_L633_); trivial. % 1.10/1.32 (* end of lemma zenon_L634_ *) % 1.10/1.32 assert (zenon_L635_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.32 apply (zenon_L12_); trivial. % 1.10/1.32 apply (zenon_L634_); trivial. % 1.10/1.32 (* end of lemma zenon_L635_ *) % 1.10/1.32 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hb1 zenon_Hef. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.10/1.32 apply (zenon_L145_); trivial. % 1.10/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.10/1.32 exact (zenon_Hed zenon_Hee). % 1.10/1.32 exact (zenon_Hb1 zenon_Hb2). % 1.10/1.32 apply (zenon_L629_); trivial. % 1.10/1.32 (* end of lemma zenon_L636_ *) % 1.10/1.32 assert (zenon_L637_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.32 apply (zenon_L143_); trivial. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.32 apply (zenon_L97_); trivial. % 1.10/1.32 apply (zenon_L636_); trivial. % 1.10/1.32 (* end of lemma zenon_L637_ *) % 1.10/1.32 assert (zenon_L638_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H10d zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.32 apply (zenon_L169_); trivial. % 1.10/1.32 apply (zenon_L636_); trivial. % 1.10/1.32 (* end of lemma zenon_L638_ *) % 1.10/1.32 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.10/1.32 apply (zenon_L143_); trivial. % 1.10/1.32 apply (zenon_L638_); trivial. % 1.10/1.32 (* end of lemma zenon_L639_ *) % 1.10/1.32 assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H162 zenon_H4b zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H5b zenon_H1db zenon_H1ae zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L289_); trivial. % 1.10/1.32 apply (zenon_L639_); trivial. % 1.10/1.32 (* end of lemma zenon_L640_ *) % 1.10/1.32 assert (zenon_L641_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.32 apply (zenon_L16_); trivial. % 1.10/1.32 apply (zenon_L637_); trivial. % 1.10/1.32 apply (zenon_L640_); trivial. % 1.10/1.32 (* end of lemma zenon_L641_ *) % 1.10/1.32 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.10/1.32 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.10/1.32 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.32 apply (zenon_L12_); trivial. % 1.10/1.32 apply (zenon_L641_); trivial. % 1.10/1.32 (* end of lemma zenon_L642_ *) % 1.10/1.32 assert (zenon_L643_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14)))))) -> (~(c1_1 (a2417))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.32 do 0 intro. intros zenon_H19f zenon_H66 zenon_H64 zenon_H184 zenon_H65 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.10/1.32 apply (zenon_L186_); trivial. % 1.10/1.32 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.10/1.32 apply (zenon_L628_); trivial. % 1.10/1.32 exact (zenon_H123 zenon_H124). % 1.10/1.32 (* end of lemma zenon_L643_ *) % 1.10/1.32 assert (zenon_L644_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp28)) -> (~(hskp9)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H23a zenon_H123 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H65 zenon_H64 zenon_H66 zenon_H19f zenon_H229 zenon_H3. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H184 | zenon_intro zenon_H23b ]. % 1.10/1.33 apply (zenon_L643_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H22a | zenon_intro zenon_H4 ]. % 1.10/1.33 exact (zenon_H229 zenon_H22a). % 1.10/1.33 exact (zenon_H3 zenon_H4). % 1.10/1.33 (* end of lemma zenon_L644_ *) % 1.10/1.33 assert (zenon_L645_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> False). % 1.10/1.33 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H19 zenon_H298 zenon_H29a. % 1.10/1.33 generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ]. % 1.10/1.33 exact (zenon_H299 zenon_H2a0). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ]. % 1.10/1.33 generalize (zenon_H19 (a2403)). zenon_intro zenon_H2a7. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a8 ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 1.10/1.33 exact (zenon_H2a6 zenon_H2aa). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H29e | zenon_intro zenon_H29f ]. % 1.10/1.33 exact (zenon_H298 zenon_H29e). % 1.10/1.33 exact (zenon_H29f zenon_H29a). % 1.10/1.33 exact (zenon_H29f zenon_H29a). % 1.10/1.33 (* end of lemma zenon_L645_ *) % 1.10/1.33 assert (zenon_L646_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.10/1.33 apply (zenon_L645_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 exact (zenon_H7c zenon_H7d). % 1.10/1.33 (* end of lemma zenon_L646_ *) % 1.10/1.33 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H234 zenon_H1b9 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H145 zenon_H1b7. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 1.10/1.33 apply (zenon_L646_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 1.10/1.33 exact (zenon_H145 zenon_H146). % 1.10/1.33 exact (zenon_H1b7 zenon_H1b8). % 1.10/1.33 (* end of lemma zenon_L647_ *) % 1.10/1.33 assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L261_); trivial. % 1.10/1.33 apply (zenon_L647_); trivial. % 1.10/1.33 (* end of lemma zenon_L648_ *) % 1.10/1.33 assert (zenon_L649_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13a zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H237. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L644_); trivial. % 1.10/1.33 apply (zenon_L647_); trivial. % 1.10/1.33 apply (zenon_L648_); trivial. % 1.10/1.33 (* end of lemma zenon_L649_ *) % 1.10/1.33 assert (zenon_L650_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H234 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.10/1.33 apply (zenon_L27_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.10/1.33 apply (zenon_L149_); trivial. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 (* end of lemma zenon_L650_ *) % 1.10/1.33 assert (zenon_L651_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H237 zenon_H2ab zenon_H1be zenon_H1bd zenon_H1bc zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L644_); trivial. % 1.10/1.33 apply (zenon_L650_); trivial. % 1.10/1.33 (* end of lemma zenon_L651_ *) % 1.10/1.33 assert (zenon_L652_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H2ab zenon_H1be zenon_H1bd zenon_H1bc zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L261_); trivial. % 1.10/1.33 apply (zenon_L650_); trivial. % 1.10/1.33 (* end of lemma zenon_L652_ *) % 1.10/1.33 assert (zenon_L653_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H23a zenon_H3 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2ab zenon_H237. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.33 apply (zenon_L651_); trivial. % 1.10/1.33 apply (zenon_L652_); trivial. % 1.10/1.33 (* end of lemma zenon_L653_ *) % 1.10/1.33 assert (zenon_L654_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H145 zenon_H7c zenon_H1a1 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a zenon_H13a. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.10/1.33 apply (zenon_L649_); trivial. % 1.10/1.33 apply (zenon_L653_); trivial. % 1.10/1.33 (* end of lemma zenon_L654_ *) % 1.10/1.33 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp10)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H162 zenon_Haf zenon_H66 zenon_H65 zenon_H64 zenon_H7c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.33 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 1.10/1.33 apply (zenon_L27_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ]. % 1.10/1.33 apply (zenon_L99_); trivial. % 1.10/1.33 exact (zenon_H7c zenon_H7d). % 1.10/1.33 (* end of lemma zenon_L655_ *) % 1.10/1.33 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H6d zenon_H165 zenon_Haf zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.33 apply (zenon_L654_); trivial. % 1.10/1.33 apply (zenon_L655_); trivial. % 1.10/1.33 (* end of lemma zenon_L656_ *) % 1.10/1.33 assert (zenon_L657_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H97 zenon_Haf zenon_H13a zenon_H23a zenon_H3 zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H5e zenon_H62. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.33 apply (zenon_L635_); trivial. % 1.10/1.33 apply (zenon_L642_); trivial. % 1.10/1.33 apply (zenon_L25_); trivial. % 1.10/1.33 apply (zenon_L656_); trivial. % 1.10/1.33 (* end of lemma zenon_L657_ *) % 1.10/1.33 assert (zenon_L658_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.10/1.33 apply (zenon_L29_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.10/1.33 apply (zenon_L628_); trivial. % 1.10/1.33 exact (zenon_H123 zenon_H124). % 1.10/1.33 (* end of lemma zenon_L658_ *) % 1.10/1.33 assert (zenon_L659_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (c1_1 (a2403)) -> False). % 1.10/1.33 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H2ad zenon_H29a. % 1.10/1.33 generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ]. % 1.10/1.33 exact (zenon_H299 zenon_H2a0). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ]. % 1.10/1.33 generalize (zenon_H2ad (a2403)). zenon_intro zenon_H2ae. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H9 | zenon_intro zenon_H2af ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2aa | zenon_intro zenon_H29d ]. % 1.10/1.33 exact (zenon_H2a6 zenon_H2aa). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29f ]. % 1.10/1.33 exact (zenon_H299 zenon_H2a0). % 1.10/1.33 exact (zenon_H29f zenon_H29a). % 1.10/1.33 exact (zenon_H29f zenon_H29a). % 1.10/1.33 (* end of lemma zenon_L659_ *) % 1.10/1.33 assert (zenon_L660_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H2ad zenon_H299 zenon_H22d zenon_H22c zenon_H22b zenon_Ha zenon_H7c. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.10/1.33 apply (zenon_L659_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 exact (zenon_H7c zenon_H7d). % 1.10/1.33 (* end of lemma zenon_L660_ *) % 1.10/1.33 assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H234 zenon_H2b0 zenon_H7c zenon_H299 zenon_H29a zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H13f. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.10/1.33 apply (zenon_L660_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.10/1.33 apply (zenon_L29_); trivial. % 1.10/1.33 exact (zenon_H13f zenon_H140). % 1.10/1.33 (* end of lemma zenon_L661_ *) % 1.10/1.33 assert (zenon_L662_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L261_); trivial. % 1.10/1.33 apply (zenon_L661_); trivial. % 1.10/1.33 (* end of lemma zenon_L662_ *) % 1.10/1.33 assert (zenon_L663_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.33 apply (zenon_L658_); trivial. % 1.10/1.33 apply (zenon_L662_); trivial. % 1.10/1.33 (* end of lemma zenon_L663_ *) % 1.10/1.33 assert (zenon_L664_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2432)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c0_1 (a2432))) -> (c3_1 (a2432)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H299 zenon_Ha zenon_H3b zenon_H19 zenon_H3a zenon_H3c. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.10/1.33 apply (zenon_L33_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.10/1.33 apply (zenon_L645_); trivial. % 1.10/1.33 apply (zenon_L388_); trivial. % 1.10/1.33 (* end of lemma zenon_L664_ *) % 1.10/1.33 assert (zenon_L665_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.10/1.33 do 0 intro. intros zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_Ha zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_Hed zenon_Hb1. % 1.10/1.33 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.10/1.33 apply (zenon_L664_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.10/1.33 exact (zenon_Hed zenon_Hee). % 1.10/1.33 exact (zenon_Hb1 zenon_Hb2). % 1.10/1.33 (* end of lemma zenon_L665_ *) % 1.10/1.33 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H105 zenon_H3c zenon_H3a zenon_H3b zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.10/1.33 apply (zenon_L665_); trivial. % 1.10/1.33 apply (zenon_L629_); trivial. % 1.10/1.33 (* end of lemma zenon_L666_ *) % 1.10/1.33 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.10/1.33 apply (zenon_L169_); trivial. % 1.10/1.33 apply (zenon_L666_); trivial. % 1.10/1.33 (* end of lemma zenon_L667_ *) % 1.10/1.33 assert (zenon_L668_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H4a zenon_H165 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.10/1.33 apply (zenon_L632_); trivial. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.10/1.33 apply (zenon_L16_); trivial. % 1.10/1.33 apply (zenon_L667_); trivial. % 1.10/1.33 (* end of lemma zenon_L668_ *) % 1.10/1.33 assert (zenon_L669_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H4e zenon_H165 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.10/1.33 apply (zenon_L12_); trivial. % 1.10/1.33 apply (zenon_L668_); trivial. % 1.10/1.33 (* end of lemma zenon_L669_ *) % 1.10/1.33 assert (zenon_L670_ : (forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c3_1 (a2403))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> False). % 1.10/1.33 do 0 intro. intros zenon_Hb9 zenon_Ha zenon_H299 zenon_H1bb zenon_H298 zenon_H29a. % 1.10/1.33 generalize (zenon_Hb9 (a2403)). zenon_intro zenon_H2a3. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a5 ]. % 1.10/1.33 exact (zenon_H299 zenon_H2a0). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H29f ]. % 1.10/1.33 generalize (zenon_H1bb (a2403)). zenon_intro zenon_H2b2. % 1.10/1.33 apply (zenon_imply_s _ _ zenon_H2b2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b3 ]. % 1.10/1.33 exact (zenon_H9 zenon_Ha). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2b4 ]. % 1.10/1.33 exact (zenon_H2a6 zenon_H2aa). % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H29e | zenon_intro zenon_H2a0 ]. % 1.10/1.33 exact (zenon_H298 zenon_H29e). % 1.10/1.33 exact (zenon_H299 zenon_H2a0). % 1.10/1.33 exact (zenon_H29f zenon_H29a). % 1.10/1.33 (* end of lemma zenon_L670_ *) % 1.10/1.33 assert (zenon_L671_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H1bb zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.10/1.33 apply (zenon_L33_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.10/1.33 apply (zenon_L670_); trivial. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 (* end of lemma zenon_L671_ *) % 1.10/1.33 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H234 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.10/1.33 apply (zenon_L27_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.10/1.33 apply (zenon_L671_); trivial. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 (* end of lemma zenon_L672_ *) % 1.10/1.33 assert (zenon_L673_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L644_); trivial. % 1.10/1.33 apply (zenon_L672_); trivial. % 1.10/1.33 (* end of lemma zenon_L673_ *) % 1.10/1.33 assert (zenon_L674_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L261_); trivial. % 1.10/1.33 apply (zenon_L672_); trivial. % 1.10/1.33 (* end of lemma zenon_L674_ *) % 1.10/1.33 assert (zenon_L675_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.10/1.33 apply (zenon_L673_); trivial. % 1.10/1.33 apply (zenon_L674_); trivial. % 1.10/1.33 (* end of lemma zenon_L675_ *) % 1.10/1.33 assert (zenon_L676_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H97 zenon_H13a zenon_H23a zenon_H3 zenon_H19f zenon_H2ab zenon_H237 zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H165 zenon_H4e zenon_H5e zenon_H62. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.10/1.33 apply (zenon_L669_); trivial. % 1.10/1.33 apply (zenon_L642_); trivial. % 1.10/1.33 apply (zenon_L25_); trivial. % 1.10/1.33 apply (zenon_L675_); trivial. % 1.10/1.33 (* end of lemma zenon_L676_ *) % 1.10/1.33 assert (zenon_L677_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H2ad zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.10/1.33 apply (zenon_L33_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.10/1.33 apply (zenon_L659_); trivial. % 1.10/1.33 apply (zenon_L254_); trivial. % 1.10/1.33 (* end of lemma zenon_L677_ *) % 1.10/1.33 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False). % 1.10/1.33 do 0 intro. intros zenon_H234 zenon_H2b0 zenon_H299 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_H13f. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.10/1.33 apply (zenon_L677_); trivial. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.10/1.33 apply (zenon_L29_); trivial. % 1.10/1.33 exact (zenon_H13f zenon_H140). % 1.10/1.33 (* end of lemma zenon_L678_ *) % 1.10/1.33 assert (zenon_L679_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.10/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H105 zenon_H3 zenon_H23a. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.10/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.10/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.10/1.33 apply (zenon_L261_); trivial. % 1.10/1.33 apply (zenon_L678_); trivial. % 1.10/1.33 (* end of lemma zenon_L679_ *) % 1.10/1.33 assert (zenon_L680_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.33 apply (zenon_L658_); trivial. % 1.18/1.33 apply (zenon_L679_); trivial. % 1.18/1.33 (* end of lemma zenon_L680_ *) % 1.18/1.33 assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H175 zenon_H95 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.33 apply (zenon_L657_); trivial. % 1.18/1.33 apply (zenon_L663_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.33 apply (zenon_L676_); trivial. % 1.18/1.33 apply (zenon_L680_); trivial. % 1.18/1.33 apply (zenon_L117_); trivial. % 1.18/1.33 (* end of lemma zenon_L681_ *) % 1.18/1.33 assert (zenon_L682_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H178 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.18/1.33 apply (zenon_L227_); trivial. % 1.18/1.33 apply (zenon_L681_); trivial. % 1.18/1.33 (* end of lemma zenon_L682_ *) % 1.18/1.33 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.33 apply (zenon_L153_); trivial. % 1.18/1.33 apply (zenon_L638_); trivial. % 1.18/1.33 (* end of lemma zenon_L683_ *) % 1.18/1.33 assert (zenon_L684_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1cb zenon_H1db zenon_H165 zenon_H1cd zenon_H13e. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.33 apply (zenon_L52_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.33 apply (zenon_L240_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.33 apply (zenon_L257_); trivial. % 1.18/1.33 apply (zenon_L637_); trivial. % 1.18/1.33 apply (zenon_L683_); trivial. % 1.18/1.33 apply (zenon_L45_); trivial. % 1.18/1.33 (* end of lemma zenon_L684_ *) % 1.18/1.33 assert (zenon_L685_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H45 zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.33 apply (zenon_L97_); trivial. % 1.18/1.33 apply (zenon_L666_); trivial. % 1.18/1.33 (* end of lemma zenon_L685_ *) % 1.18/1.33 assert (zenon_L686_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp20)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_Hd7 zenon_Hcc zenon_Hcd zenon_Hda zenon_Hd9 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.18/1.33 apply (zenon_L149_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.18/1.33 apply (zenon_L56_); trivial. % 1.18/1.33 apply (zenon_L139_); trivial. % 1.18/1.33 (* end of lemma zenon_L686_ *) % 1.18/1.33 assert (zenon_L687_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_Ha zenon_H1bc zenon_H1bd zenon_H1be zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.33 apply (zenon_L686_); trivial. % 1.18/1.33 apply (zenon_L155_); trivial. % 1.18/1.33 (* end of lemma zenon_L687_ *) % 1.18/1.33 assert (zenon_L688_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.33 apply (zenon_L687_); trivial. % 1.18/1.33 apply (zenon_L637_); trivial. % 1.18/1.33 (* end of lemma zenon_L688_ *) % 1.18/1.33 assert (zenon_L689_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H1ae zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_H238 zenon_H227 zenon_Hd9 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H105 zenon_H237 zenon_H147 zenon_Hef zenon_Hb1 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.33 apply (zenon_L52_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.33 apply (zenon_L240_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.33 apply (zenon_L40_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.33 apply (zenon_L522_); trivial. % 1.18/1.33 apply (zenon_L147_); trivial. % 1.18/1.33 apply (zenon_L685_); trivial. % 1.18/1.33 apply (zenon_L688_); trivial. % 1.18/1.33 apply (zenon_L640_); trivial. % 1.18/1.33 apply (zenon_L28_); trivial. % 1.18/1.33 (* end of lemma zenon_L689_ *) % 1.18/1.33 assert (zenon_L690_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.33 apply (zenon_L658_); trivial. % 1.18/1.33 apply (zenon_L126_); trivial. % 1.18/1.33 (* end of lemma zenon_L690_ *) % 1.18/1.33 assert (zenon_L691_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp21)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H13a zenon_H243 zenon_H143 zenon_H15 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.33 apply (zenon_L658_); trivial. % 1.18/1.33 apply (zenon_L265_); trivial. % 1.18/1.33 (* end of lemma zenon_L691_ *) % 1.18/1.33 assert (zenon_L692_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H4f zenon_H22b zenon_H22c zenon_H22d. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ]. % 1.18/1.33 apply (zenon_L95_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ]. % 1.18/1.33 apply (zenon_L628_); trivial. % 1.18/1.33 generalize (zenon_H1dd (a2406)). zenon_intro zenon_H23c. % 1.18/1.33 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ]. % 1.18/1.33 exact (zenon_H9 zenon_Ha). % 1.18/1.33 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23e | zenon_intro zenon_H230 ]. % 1.18/1.33 generalize (zenon_H4f (a2406)). zenon_intro zenon_H2b5. % 1.18/1.33 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b6 ]. % 1.18/1.33 exact (zenon_H9 zenon_Ha). % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H242 | zenon_intro zenon_H2b7 ]. % 1.18/1.33 exact (zenon_H23e zenon_H242). % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H231 | zenon_intro zenon_H233 ]. % 1.18/1.33 exact (zenon_H231 zenon_H22b). % 1.18/1.33 exact (zenon_H233 zenon_H22c). % 1.18/1.33 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 1.18/1.33 exact (zenon_H233 zenon_H22c). % 1.18/1.33 exact (zenon_H232 zenon_H22d). % 1.18/1.33 (* end of lemma zenon_L692_ *) % 1.18/1.33 assert (zenon_L693_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H234 zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.18/1.33 apply (zenon_L671_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.18/1.33 apply (zenon_L692_); trivial. % 1.18/1.33 apply (zenon_L139_); trivial. % 1.18/1.33 (* end of lemma zenon_L693_ *) % 1.18/1.33 assert (zenon_L694_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.18/1.33 apply (zenon_L261_); trivial. % 1.18/1.33 apply (zenon_L693_); trivial. % 1.18/1.33 (* end of lemma zenon_L694_ *) % 1.18/1.33 assert (zenon_L695_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H80 zenon_H1cd zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H243 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.33 apply (zenon_L690_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.33 apply (zenon_L691_); trivial. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.33 apply (zenon_L658_); trivial. % 1.18/1.33 apply (zenon_L694_); trivial. % 1.18/1.33 (* end of lemma zenon_L695_ *) % 1.18/1.33 assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H8f zenon_H96 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hb1 zenon_Hef zenon_H147 zenon_H237 zenon_H105 zenon_H8d zenon_Hd9 zenon_H227 zenon_H238 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H1ae zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.33 apply (zenon_L689_); trivial. % 1.18/1.33 apply (zenon_L695_); trivial. % 1.18/1.33 (* end of lemma zenon_L696_ *) % 1.18/1.33 assert (zenon_L697_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.18/1.33 do 0 intro. intros zenon_H98 zenon_H243 zenon_H4e zenon_H105 zenon_H8d zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H6e zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H237 zenon_H1a1 zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1cb zenon_H1db zenon_H165 zenon_H1cd zenon_H13e zenon_H19f zenon_H23a zenon_H3 zenon_H13f zenon_H2b0 zenon_H96. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.33 apply (zenon_L684_); trivial. % 1.18/1.33 apply (zenon_L663_); trivial. % 1.18/1.33 apply (zenon_L696_); trivial. % 1.18/1.33 (* end of lemma zenon_L697_ *) % 1.18/1.33 assert (zenon_L698_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H2a1 zenon_Hf9 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ]. % 1.18/1.33 apply (zenon_L105_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ]. % 1.18/1.33 apply (zenon_L628_); trivial. % 1.18/1.33 apply (zenon_L176_); trivial. % 1.18/1.33 (* end of lemma zenon_L698_ *) % 1.18/1.33 assert (zenon_L699_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ad zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.18/1.33 apply (zenon_L33_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.18/1.33 apply (zenon_L659_); trivial. % 1.18/1.33 apply (zenon_L698_); trivial. % 1.18/1.33 (* end of lemma zenon_L699_ *) % 1.18/1.33 assert (zenon_L700_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False). % 1.18/1.33 do 0 intro. intros zenon_H109 zenon_H2b0 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H75 zenon_H74 zenon_H73 zenon_H13f. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.33 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.33 apply (zenon_L699_); trivial. % 1.18/1.33 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.33 apply (zenon_L29_); trivial. % 1.18/1.33 exact (zenon_H13f zenon_H140). % 1.18/1.33 (* end of lemma zenon_L700_ *) % 1.18/1.33 assert (zenon_L701_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ce zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H298 zenon_H299 zenon_H29a zenon_H2b8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H2b9 ]. % 1.18/1.34 apply (zenon_L103_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H199 | zenon_intro zenon_H18f ]. % 1.18/1.34 apply (zenon_L628_); trivial. % 1.18/1.34 apply (zenon_L139_); trivial. % 1.18/1.34 apply (zenon_L700_); trivial. % 1.18/1.34 (* end of lemma zenon_L701_ *) % 1.18/1.34 assert (zenon_L702_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H80 zenon_H1cd zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2b8 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L690_); trivial. % 1.18/1.34 apply (zenon_L701_); trivial. % 1.18/1.34 (* end of lemma zenon_L702_ *) % 1.18/1.34 assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H8f zenon_H96 zenon_H2b0 zenon_H13f zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2b8 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hb1 zenon_Hef zenon_H147 zenon_H237 zenon_H105 zenon_H8d zenon_Hd9 zenon_H227 zenon_H238 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H1ae zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.34 apply (zenon_L689_); trivial. % 1.18/1.34 apply (zenon_L702_); trivial. % 1.18/1.34 (* end of lemma zenon_L703_ *) % 1.18/1.34 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H37 zenon_H33 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H111 zenon_H4b zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_L40_); trivial. % 1.18/1.34 apply (zenon_L641_); trivial. % 1.18/1.34 (* end of lemma zenon_L704_ *) % 1.18/1.34 assert (zenon_L705_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H5e zenon_H62. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L635_); trivial. % 1.18/1.34 apply (zenon_L704_); trivial. % 1.18/1.34 apply (zenon_L25_); trivial. % 1.18/1.34 apply (zenon_L45_); trivial. % 1.18/1.34 (* end of lemma zenon_L705_ *) % 1.18/1.34 assert (zenon_L706_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H80 zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L346_); trivial. % 1.18/1.34 apply (zenon_L700_); trivial. % 1.18/1.34 (* end of lemma zenon_L706_ *) % 1.18/1.34 assert (zenon_L707_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H175 zenon_H95 zenon_H8d zenon_H141 zenon_H7e zenon_H96 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H23a zenon_H19f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_Haf zenon_Hb3 zenon_H97 zenon_H2ab zenon_H105 zenon_H98. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.34 apply (zenon_L705_); trivial. % 1.18/1.34 apply (zenon_L663_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L669_); trivial. % 1.18/1.34 apply (zenon_L704_); trivial. % 1.18/1.34 apply (zenon_L25_); trivial. % 1.18/1.34 apply (zenon_L675_); trivial. % 1.18/1.34 apply (zenon_L706_); trivial. % 1.18/1.34 apply (zenon_L117_); trivial. % 1.18/1.34 (* end of lemma zenon_L707_ *) % 1.18/1.34 assert (zenon_L708_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1a1 zenon_H19 zenon_Hfc zenon_Hfb zenon_H10c zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H7c. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.18/1.34 apply (zenon_L645_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.18/1.34 apply (zenon_L698_); trivial. % 1.18/1.34 exact (zenon_H7c zenon_H7d). % 1.18/1.34 (* end of lemma zenon_L708_ *) % 1.18/1.34 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H109 zenon_H27 zenon_H7c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a1 zenon_H23 zenon_H25. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.18/1.34 apply (zenon_L708_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.18/1.34 exact (zenon_H23 zenon_H24). % 1.18/1.34 exact (zenon_H25 zenon_H26). % 1.18/1.34 (* end of lemma zenon_L709_ *) % 1.18/1.34 assert (zenon_L710_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.34 apply (zenon_L130_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L135_); trivial. % 1.18/1.34 apply (zenon_L709_); trivial. % 1.18/1.34 apply (zenon_L137_); trivial. % 1.18/1.34 (* end of lemma zenon_L710_ *) % 1.18/1.34 assert (zenon_L711_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H187 zenon_H189 zenon_H13a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L127_); trivial. % 1.18/1.34 apply (zenon_L710_); trivial. % 1.18/1.34 (* end of lemma zenon_L711_ *) % 1.18/1.34 assert (zenon_L712_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H165 zenon_H1db zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H13a zenon_H1ae zenon_H147 zenon_H158 zenon_H4b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_L141_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.34 apply (zenon_L48_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L175_); trivial. % 1.18/1.34 apply (zenon_L709_); trivial. % 1.18/1.34 apply (zenon_L155_); trivial. % 1.18/1.34 apply (zenon_L637_); trivial. % 1.18/1.34 apply (zenon_L683_); trivial. % 1.18/1.34 (* end of lemma zenon_L712_ *) % 1.18/1.34 assert (zenon_L713_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1cd zenon_H1ae zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_Hb7 zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H147 zenon_H158 zenon_H4b zenon_H4e. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L711_); trivial. % 1.18/1.34 apply (zenon_L631_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L711_); trivial. % 1.18/1.34 apply (zenon_L633_); trivial. % 1.18/1.34 apply (zenon_L634_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_L712_); trivial. % 1.18/1.34 apply (zenon_L641_); trivial. % 1.18/1.34 (* end of lemma zenon_L713_ *) % 1.18/1.34 assert (zenon_L714_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H111 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L157_); trivial. % 1.18/1.34 apply (zenon_L710_); trivial. % 1.18/1.34 (* end of lemma zenon_L714_ *) % 1.18/1.34 assert (zenon_L715_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H4e zenon_H37 zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H111 zenon_H1db zenon_H165. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L714_); trivial. % 1.18/1.34 apply (zenon_L631_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L714_); trivial. % 1.18/1.34 apply (zenon_L633_); trivial. % 1.18/1.34 apply (zenon_L634_); trivial. % 1.18/1.34 (* end of lemma zenon_L715_ *) % 1.18/1.34 assert (zenon_L716_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H19 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.18/1.34 apply (zenon_L33_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.18/1.34 apply (zenon_L645_); trivial. % 1.18/1.34 apply (zenon_L698_); trivial. % 1.18/1.34 (* end of lemma zenon_L716_ *) % 1.18/1.34 assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H109 zenon_H27 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.18/1.34 apply (zenon_L716_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.18/1.34 exact (zenon_H23 zenon_H24). % 1.18/1.34 exact (zenon_H25 zenon_H26). % 1.18/1.34 (* end of lemma zenon_L717_ *) % 1.18/1.34 assert (zenon_L718_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H10d zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H12a zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hca. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.34 apply (zenon_L48_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L135_); trivial. % 1.18/1.34 apply (zenon_L717_); trivial. % 1.18/1.34 apply (zenon_L137_); trivial. % 1.18/1.34 (* end of lemma zenon_L718_ *) % 1.18/1.34 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H109 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hbc zenon_Hbb zenon_Hba zenon_H2a1 zenon_H29a zenon_H299 zenon_H298. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.18/1.34 apply (zenon_L33_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.18/1.34 apply (zenon_L49_); trivial. % 1.18/1.34 apply (zenon_L698_); trivial. % 1.18/1.34 (* end of lemma zenon_L719_ *) % 1.18/1.34 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H153 zenon_Hca zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_H5b zenon_Hb7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.34 apply (zenon_L48_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L170_); trivial. % 1.18/1.34 apply (zenon_L719_); trivial. % 1.18/1.34 (* end of lemma zenon_L720_ *) % 1.18/1.34 assert (zenon_L721_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H10d zenon_H158 zenon_Hca zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H159 zenon_H15a zenon_H15b zenon_H5b zenon_H1db. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.34 apply (zenon_L169_); trivial. % 1.18/1.34 apply (zenon_L720_); trivial. % 1.18/1.34 (* end of lemma zenon_L721_ *) % 1.18/1.34 assert (zenon_L722_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H45 zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H23 zenon_H25. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.18/1.34 apply (zenon_L664_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.18/1.34 exact (zenon_H23 zenon_H24). % 1.18/1.34 exact (zenon_H25 zenon_H26). % 1.18/1.34 (* end of lemma zenon_L722_ *) % 1.18/1.34 assert (zenon_L723_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H141 zenon_H13f zenon_H37 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L142_); trivial. % 1.18/1.34 apply (zenon_L722_); trivial. % 1.18/1.34 apply (zenon_L87_); trivial. % 1.18/1.34 (* end of lemma zenon_L723_ *) % 1.18/1.34 assert (zenon_L724_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H1db zenon_H154 zenon_H111 zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_Hb7 zenon_H5b zenon_H1 zenon_H18d zenon_H59 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_Hca zenon_H37 zenon_H33 zenon_Hd9 zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H147 zenon_H158 zenon_H4b zenon_H13f zenon_H141 zenon_H4e. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L127_); trivial. % 1.18/1.34 apply (zenon_L718_); trivial. % 1.18/1.34 apply (zenon_L685_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L127_); trivial. % 1.18/1.34 apply (zenon_L721_); trivial. % 1.18/1.34 apply (zenon_L633_); trivial. % 1.18/1.34 apply (zenon_L87_); trivial. % 1.18/1.34 apply (zenon_L723_); trivial. % 1.18/1.34 (* end of lemma zenon_L724_ *) % 1.18/1.34 assert (zenon_L725_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H162 zenon_H4b zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L57_); trivial. % 1.18/1.34 apply (zenon_L721_); trivial. % 1.18/1.34 apply (zenon_L667_); trivial. % 1.18/1.34 (* end of lemma zenon_L725_ *) % 1.18/1.34 assert (zenon_L726_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H4e zenon_H37 zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H59 zenon_H18d zenon_H12a zenon_H1 zenon_H5b zenon_Hb7 zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H111 zenon_H154 zenon_H1db zenon_H165. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L57_); trivial. % 1.18/1.34 apply (zenon_L718_); trivial. % 1.18/1.34 apply (zenon_L631_); trivial. % 1.18/1.34 apply (zenon_L725_); trivial. % 1.18/1.34 apply (zenon_L634_); trivial. % 1.18/1.34 (* end of lemma zenon_L726_ *) % 1.18/1.34 assert (zenon_L727_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H111 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1ae zenon_H145 zenon_H1b9 zenon_H4b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.34 apply (zenon_L218_); trivial. % 1.18/1.34 apply (zenon_L688_); trivial. % 1.18/1.34 (* end of lemma zenon_L727_ *) % 1.18/1.34 assert (zenon_L728_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H4b zenon_H1b9 zenon_H1ae zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_L727_); trivial. % 1.18/1.34 apply (zenon_L725_); trivial. % 1.18/1.34 (* end of lemma zenon_L728_ *) % 1.18/1.34 assert (zenon_L729_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H187 zenon_H189. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H184 | zenon_intro zenon_H188 ]. % 1.18/1.34 apply (zenon_L643_); trivial. % 1.18/1.34 exact (zenon_H187 zenon_H188). % 1.18/1.34 apply (zenon_L126_); trivial. % 1.18/1.34 (* end of lemma zenon_L729_ *) % 1.18/1.34 assert (zenon_L730_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H141 zenon_H13f zenon_H37 zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L729_); trivial. % 1.18/1.34 apply (zenon_L723_); trivial. % 1.18/1.34 (* end of lemma zenon_L730_ *) % 1.18/1.34 assert (zenon_L731_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H10d zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L62_); trivial. % 1.18/1.34 apply (zenon_L717_); trivial. % 1.18/1.34 (* end of lemma zenon_L731_ *) % 1.18/1.34 assert (zenon_L732_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H147 zenon_H158 zenon_H4b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.34 apply (zenon_L57_); trivial. % 1.18/1.34 apply (zenon_L731_); trivial. % 1.18/1.34 apply (zenon_L685_); trivial. % 1.18/1.34 apply (zenon_L725_); trivial. % 1.18/1.34 (* end of lemma zenon_L732_ *) % 1.18/1.34 assert (zenon_L733_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H1bb zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.18/1.34 apply (zenon_L33_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.18/1.34 apply (zenon_L670_); trivial. % 1.18/1.34 apply (zenon_L698_); trivial. % 1.18/1.34 (* end of lemma zenon_L733_ *) % 1.18/1.34 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H109 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.18/1.34 apply (zenon_L733_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.18/1.34 apply (zenon_L22_); trivial. % 1.18/1.34 apply (zenon_L139_); trivial. % 1.18/1.34 (* end of lemma zenon_L734_ *) % 1.18/1.34 assert (zenon_L735_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H45 zenon_H10e zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.34 apply (zenon_L665_); trivial. % 1.18/1.34 apply (zenon_L734_); trivial. % 1.18/1.34 (* end of lemma zenon_L735_ *) % 1.18/1.34 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4b zenon_H10e zenon_H21c zenon_H2a1 zenon_H105 zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L729_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L34_); trivial. % 1.18/1.34 apply (zenon_L735_); trivial. % 1.18/1.34 (* end of lemma zenon_L736_ *) % 1.18/1.34 assert (zenon_L737_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp14)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H19f zenon_Hc3 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.18/1.34 apply (zenon_L309_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.18/1.34 apply (zenon_L628_); trivial. % 1.18/1.34 exact (zenon_H123 zenon_H124). % 1.18/1.34 (* end of lemma zenon_L737_ *) % 1.18/1.34 assert (zenon_L738_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_L737_); trivial. % 1.18/1.34 apply (zenon_L126_); trivial. % 1.18/1.34 (* end of lemma zenon_L738_ *) % 1.18/1.34 assert (zenon_L739_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H234 zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.18/1.34 apply (zenon_L149_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.18/1.34 apply (zenon_L692_); trivial. % 1.18/1.34 apply (zenon_L139_); trivial. % 1.18/1.34 (* end of lemma zenon_L739_ *) % 1.18/1.34 assert (zenon_L740_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.18/1.34 apply (zenon_L261_); trivial. % 1.18/1.34 apply (zenon_L739_); trivial. % 1.18/1.34 (* end of lemma zenon_L740_ *) % 1.18/1.34 assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_L141_); trivial. % 1.18/1.34 apply (zenon_L740_); trivial. % 1.18/1.34 (* end of lemma zenon_L741_ *) % 1.18/1.34 assert (zenon_L742_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H15 zenon_H243 zenon_H13a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.34 apply (zenon_L141_); trivial. % 1.18/1.34 apply (zenon_L265_); trivial. % 1.18/1.34 apply (zenon_L741_); trivial. % 1.18/1.34 (* end of lemma zenon_L742_ *) % 1.18/1.34 assert (zenon_L743_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c1_1 (a2403)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (~(hskp30)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H29a zenon_H2ad zenon_H299 zenon_Ha zenon_H115. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ]. % 1.18/1.34 apply (zenon_L139_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ]. % 1.18/1.34 apply (zenon_L659_); trivial. % 1.18/1.34 exact (zenon_H115 zenon_H116). % 1.18/1.34 (* end of lemma zenon_L743_ *) % 1.18/1.34 assert (zenon_L744_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.18/1.34 do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H13f. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.34 apply (zenon_L743_); trivial. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.34 apply (zenon_L231_); trivial. % 1.18/1.34 exact (zenon_H13f zenon_H140). % 1.18/1.34 (* end of lemma zenon_L744_ *) % 1.18/1.34 assert (zenon_L745_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H162 zenon_H12a zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H13f zenon_H2b0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.34 apply (zenon_L744_); trivial. % 1.18/1.34 apply (zenon_L287_); trivial. % 1.18/1.34 (* end of lemma zenon_L745_ *) % 1.18/1.34 assert (zenon_L746_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.34 apply (zenon_L738_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.34 apply (zenon_L12_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.34 apply (zenon_L228_); trivial. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.34 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.34 apply (zenon_L742_); trivial. % 1.18/1.34 apply (zenon_L637_); trivial. % 1.18/1.34 apply (zenon_L745_); trivial. % 1.18/1.34 (* end of lemma zenon_L746_ *) % 1.18/1.34 assert (zenon_L747_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> False). % 1.18/1.34 do 0 intro. intros zenon_H1ca zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H145 zenon_H1b9. % 1.18/1.34 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.34 apply (zenon_L228_); trivial. % 1.18/1.34 apply (zenon_L688_); trivial. % 1.18/1.34 (* end of lemma zenon_L747_ *) % 1.18/1.34 assert (zenon_L748_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H21c zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L12_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_L747_); trivial. % 1.18/1.35 apply (zenon_L640_); trivial. % 1.18/1.35 (* end of lemma zenon_L748_ *) % 1.18/1.35 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L240_); trivial. % 1.18/1.35 apply (zenon_L748_); trivial. % 1.18/1.35 (* end of lemma zenon_L749_ *) % 1.18/1.35 assert (zenon_L750_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_H59 zenon_H5b zenon_H1db zenon_H1ae zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H147 zenon_Hef zenon_Hb1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L738_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L12_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.35 apply (zenon_L228_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_L742_); trivial. % 1.18/1.35 apply (zenon_L685_); trivial. % 1.18/1.35 apply (zenon_L640_); trivial. % 1.18/1.35 (* end of lemma zenon_L750_ *) % 1.18/1.35 assert (zenon_L751_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_L282_); trivial. % 1.18/1.35 apply (zenon_L629_); trivial. % 1.18/1.35 (* end of lemma zenon_L751_ *) % 1.18/1.35 assert (zenon_L752_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L40_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.35 apply (zenon_L691_); trivial. % 1.18/1.35 apply (zenon_L751_); trivial. % 1.18/1.35 (* end of lemma zenon_L752_ *) % 1.18/1.35 assert (zenon_L753_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L738_); trivial. % 1.18/1.35 apply (zenon_L752_); trivial. % 1.18/1.35 (* end of lemma zenon_L753_ *) % 1.18/1.35 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L240_); trivial. % 1.18/1.35 apply (zenon_L752_); trivial. % 1.18/1.35 (* end of lemma zenon_L754_ *) % 1.18/1.35 assert (zenon_L755_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H13e zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H243 zenon_H15 zenon_H73 zenon_H74 zenon_H75 zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H2a1 zenon_H10e zenon_H158 zenon_H4e zenon_H1cd. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.35 apply (zenon_L753_); trivial. % 1.18/1.35 apply (zenon_L754_); trivial. % 1.18/1.35 (* end of lemma zenon_L755_ *) % 1.18/1.35 assert (zenon_L756_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H13e. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.35 apply (zenon_L755_); trivial. % 1.18/1.35 apply (zenon_L45_); trivial. % 1.18/1.35 (* end of lemma zenon_L756_ *) % 1.18/1.35 assert (zenon_L757_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H96 zenon_H4e zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_Ha3 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H13e zenon_H1cd zenon_H165 zenon_H1db zenon_H1cb zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H238 zenon_H227 zenon_Hd9 zenon_H5e zenon_H7c zenon_H1a1 zenon_H237 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Haf zenon_Hb3 zenon_H97. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.18/1.35 apply (zenon_L684_); trivial. % 1.18/1.35 apply (zenon_L756_); trivial. % 1.18/1.35 (* end of lemma zenon_L757_ *) % 1.18/1.35 assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_L346_); trivial. % 1.18/1.35 apply (zenon_L629_); trivial. % 1.18/1.35 (* end of lemma zenon_L758_ *) % 1.18/1.35 assert (zenon_L759_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H15 zenon_H243 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L80_); trivial. % 1.18/1.35 apply (zenon_L265_); trivial. % 1.18/1.35 apply (zenon_L758_); trivial. % 1.18/1.35 (* end of lemma zenon_L759_ *) % 1.18/1.35 assert (zenon_L760_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L738_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L12_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_L759_); trivial. % 1.18/1.35 apply (zenon_L637_); trivial. % 1.18/1.35 apply (zenon_L640_); trivial. % 1.18/1.35 (* end of lemma zenon_L760_ *) % 1.18/1.35 assert (zenon_L761_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_Hd9 zenon_H1b9 zenon_H13e. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.35 apply (zenon_L760_); trivial. % 1.18/1.35 apply (zenon_L749_); trivial. % 1.18/1.35 apply (zenon_L25_); trivial. % 1.18/1.35 (* end of lemma zenon_L761_ *) % 1.18/1.35 assert (zenon_L762_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_H1b9 zenon_Hd9 zenon_H21c zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H18d zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H19d zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.35 apply (zenon_L761_); trivial. % 1.18/1.35 apply (zenon_L45_); trivial. % 1.18/1.35 (* end of lemma zenon_L762_ *) % 1.18/1.35 assert (zenon_L763_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L673_); trivial. % 1.18/1.35 apply (zenon_L126_); trivial. % 1.18/1.35 (* end of lemma zenon_L763_ *) % 1.18/1.35 assert (zenon_L764_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp21)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H15 zenon_H143 zenon_H243. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H184 | zenon_intro zenon_H244 ]. % 1.18/1.35 apply (zenon_L643_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H16 | zenon_intro zenon_H144 ]. % 1.18/1.35 exact (zenon_H15 zenon_H16). % 1.18/1.35 exact (zenon_H143 zenon_H144). % 1.18/1.35 apply (zenon_L265_); trivial. % 1.18/1.35 (* end of lemma zenon_L764_ *) % 1.18/1.35 assert (zenon_L765_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_Ha zenon_H3 zenon_H23a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.18/1.35 apply (zenon_L644_); trivial. % 1.18/1.35 apply (zenon_L693_); trivial. % 1.18/1.35 (* end of lemma zenon_L765_ *) % 1.18/1.35 assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H153 zenon_H13a zenon_H23a zenon_H3 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H237. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L765_); trivial. % 1.18/1.35 apply (zenon_L694_); trivial. % 1.18/1.35 (* end of lemma zenon_L766_ *) % 1.18/1.35 assert (zenon_L767_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H6d zenon_H1cd zenon_H158 zenon_H2a1 zenon_H21c zenon_H243 zenon_H15 zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H3 zenon_H23a zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L763_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.35 apply (zenon_L764_); trivial. % 1.18/1.35 apply (zenon_L766_); trivial. % 1.18/1.35 (* end of lemma zenon_L767_ *) % 1.18/1.35 assert (zenon_L768_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H19d zenon_H1cb zenon_H13f zenon_H2b0 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H147 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L738_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L12_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_L759_); trivial. % 1.18/1.35 apply (zenon_L685_); trivial. % 1.18/1.35 apply (zenon_L745_); trivial. % 1.18/1.35 (* end of lemma zenon_L768_ *) % 1.18/1.35 assert (zenon_L769_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_Hfc zenon_Hfb zenon_Ha zenon_Ha5 zenon_H7c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.18/1.35 apply (zenon_L645_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.18/1.35 apply (zenon_L66_); trivial. % 1.18/1.35 exact (zenon_H7c zenon_H7d). % 1.18/1.35 (* end of lemma zenon_L769_ *) % 1.18/1.35 assert (zenon_L770_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cb zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H19 zenon_H298 zenon_H29a zenon_H1a1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.18/1.35 apply (zenon_L769_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.18/1.35 apply (zenon_L13_); trivial. % 1.18/1.35 apply (zenon_L76_); trivial. % 1.18/1.35 (* end of lemma zenon_L770_ *) % 1.18/1.35 assert (zenon_L771_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H125 zenon_H1b9 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H1cb zenon_H145 zenon_H1b7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 1.18/1.35 apply (zenon_L770_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 1.18/1.35 exact (zenon_H145 zenon_H146). % 1.18/1.35 exact (zenon_H1b7 zenon_H1b8). % 1.18/1.35 (* end of lemma zenon_L771_ *) % 1.18/1.35 assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H109 zenon_H12a zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.35 apply (zenon_L140_); trivial. % 1.18/1.35 apply (zenon_L771_); trivial. % 1.18/1.35 (* end of lemma zenon_L772_ *) % 1.18/1.35 assert (zenon_L773_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (c2_1 (a2478)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a2478))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H21c zenon_H1be zenon_H1bd zenon_H1bc zenon_H1f2 zenon_Hb zenon_H1f1 zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.18/1.35 apply (zenon_L149_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.18/1.35 apply (zenon_L193_); trivial. % 1.18/1.35 apply (zenon_L139_); trivial. % 1.18/1.35 (* end of lemma zenon_L773_ *) % 1.18/1.35 assert (zenon_L774_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cb zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H2ad zenon_H29a zenon_H1a1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.18/1.35 apply (zenon_L659_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.18/1.35 apply (zenon_L66_); trivial. % 1.18/1.35 exact (zenon_H7c zenon_H7d). % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.18/1.35 apply (zenon_L13_); trivial. % 1.18/1.35 apply (zenon_L76_); trivial. % 1.18/1.35 (* end of lemma zenon_L774_ *) % 1.18/1.35 assert (zenon_L775_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2450)) -> (c1_1 (a2450)) -> (c0_1 (a2450)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H2b0 zenon_H11c zenon_H11b zenon_H11a zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H39 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H13f. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.35 apply (zenon_L774_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.18/1.35 apply (zenon_L82_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.18/1.35 apply (zenon_L13_); trivial. % 1.18/1.35 apply (zenon_L230_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 (* end of lemma zenon_L775_ *) % 1.18/1.35 assert (zenon_L776_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp10)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H125 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H2c zenon_H2b zenon_H2a zenon_H209 zenon_H20a zenon_H20b zenon_H7c zenon_Hfb zenon_Hfc zenon_H299 zenon_H29a zenon_H1a1 zenon_H2b0 zenon_H13f. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.18/1.35 apply (zenon_L6_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_L775_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 (* end of lemma zenon_L776_ *) % 1.18/1.35 assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.35 apply (zenon_L140_); trivial. % 1.18/1.35 apply (zenon_L776_); trivial. % 1.18/1.35 (* end of lemma zenon_L777_ *) % 1.18/1.35 assert (zenon_L778_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H10d zenon_H12a zenon_H2b0 zenon_H13f zenon_H20b zenon_H20a zenon_H209 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H299 zenon_H29a zenon_H19d zenon_H59 zenon_H18d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 1.18/1.35 apply (zenon_L128_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.35 apply (zenon_L743_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_L230_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 exact (zenon_H59 zenon_H5a). % 1.18/1.35 apply (zenon_L129_); trivial. % 1.18/1.35 (* end of lemma zenon_L778_ *) % 1.18/1.35 assert (zenon_L779_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H1b9 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H21c zenon_H2b0 zenon_H201 zenon_H1ca zenon_H4b zenon_H158 zenon_H147 zenon_H1ae zenon_H10e zenon_H27 zenon_H25 zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H1db zenon_H165 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L738_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L712_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L141_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.35 apply (zenon_L48_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_L175_); trivial. % 1.18/1.35 apply (zenon_L772_); trivial. % 1.18/1.35 apply (zenon_L147_); trivial. % 1.18/1.35 apply (zenon_L148_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L141_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.18/1.35 apply (zenon_L192_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.18/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.35 apply (zenon_L48_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.18/1.35 apply (zenon_L773_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_L174_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 apply (zenon_L777_); trivial. % 1.18/1.35 apply (zenon_L778_); trivial. % 1.18/1.35 apply (zenon_L86_); trivial. % 1.18/1.35 apply (zenon_L745_); trivial. % 1.18/1.35 (* end of lemma zenon_L779_ *) % 1.18/1.35 assert (zenon_L780_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_L314_); trivial. % 1.18/1.35 apply (zenon_L631_); trivial. % 1.18/1.35 (* end of lemma zenon_L780_ *) % 1.18/1.35 assert (zenon_L781_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H165 zenon_H1db zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_L780_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_L314_); trivial. % 1.18/1.35 apply (zenon_L633_); trivial. % 1.18/1.35 (* end of lemma zenon_L781_ *) % 1.18/1.35 assert (zenon_L782_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_Hb5 zenon_H35 zenon_H117. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.35 apply (zenon_L75_); trivial. % 1.18/1.35 apply (zenon_L776_); trivial. % 1.18/1.35 (* end of lemma zenon_L782_ *) % 1.18/1.35 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp4)) -> False). % 1.18/1.35 do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H1cb zenon_H75 zenon_H74 zenon_H73 zenon_H13f. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.35 apply (zenon_L774_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_L29_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 (* end of lemma zenon_L783_ *) % 1.18/1.35 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H12a zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H1cb zenon_H19d zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_L282_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.35 apply (zenon_L140_); trivial. % 1.18/1.35 apply (zenon_L783_); trivial. % 1.18/1.35 (* end of lemma zenon_L784_ *) % 1.18/1.35 assert (zenon_L785_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H13a zenon_Hca zenon_H19d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H117 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.35 apply (zenon_L31_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L658_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_L282_); trivial. % 1.18/1.35 apply (zenon_L782_); trivial. % 1.18/1.35 apply (zenon_L784_); trivial. % 1.18/1.35 apply (zenon_L637_); trivial. % 1.18/1.35 apply (zenon_L745_); trivial. % 1.18/1.35 (* end of lemma zenon_L785_ *) % 1.18/1.35 assert (zenon_L786_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Haf zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H7e zenon_H7c zenon_H4b zenon_H111 zenon_H158 zenon_H2a1 zenon_H18d zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H117 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H19d zenon_Hca zenon_H165 zenon_H4e zenon_H1cd. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.35 apply (zenon_L690_); trivial. % 1.18/1.35 apply (zenon_L785_); trivial. % 1.18/1.35 apply (zenon_L45_); trivial. % 1.18/1.35 (* end of lemma zenon_L786_ *) % 1.18/1.35 assert (zenon_L787_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H13a zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.35 apply (zenon_L737_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.18/1.35 apply (zenon_L192_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.18/1.35 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.35 apply (zenon_L48_); trivial. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.18/1.35 apply (zenon_L194_); trivial. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.18/1.35 apply (zenon_L174_); trivial. % 1.18/1.35 exact (zenon_H13f zenon_H140). % 1.18/1.35 apply (zenon_L719_); trivial. % 1.18/1.35 (* end of lemma zenon_L787_ *) % 1.18/1.35 assert (zenon_L788_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H4b zenon_H158 zenon_H145 zenon_H147 zenon_H1ae zenon_H13a zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H111. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.35 apply (zenon_L787_); trivial. % 1.18/1.35 apply (zenon_L155_); trivial. % 1.18/1.35 apply (zenon_L637_); trivial. % 1.18/1.35 (* end of lemma zenon_L788_ *) % 1.18/1.35 assert (zenon_L789_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.35 do 0 intro. intros zenon_H162 zenon_H111 zenon_H158 zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_Hb7 zenon_H5b zenon_H1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_H1cb zenon_H12a zenon_Hca. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.35 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.35 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.35 apply (zenon_L153_); trivial. % 1.18/1.35 apply (zenon_L721_); trivial. % 1.18/1.35 (* end of lemma zenon_L789_ *) % 1.18/1.35 assert (zenon_L790_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H165 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H111 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H2a1 zenon_H105 zenon_H10e zenon_Hca zenon_H201 zenon_H1ae zenon_H147 zenon_H158 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L738_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_L788_); trivial. % 1.18/1.36 apply (zenon_L789_); trivial. % 1.18/1.36 (* end of lemma zenon_L790_ *) % 1.18/1.36 assert (zenon_L791_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_L340_); trivial. % 1.18/1.36 apply (zenon_L631_); trivial. % 1.18/1.36 (* end of lemma zenon_L791_ *) % 1.18/1.36 assert (zenon_L792_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H165 zenon_H105 zenon_H5b zenon_H1db zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_L791_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_L340_); trivial. % 1.18/1.36 apply (zenon_L667_); trivial. % 1.18/1.36 (* end of lemma zenon_L792_ *) % 1.18/1.36 assert (zenon_L793_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_H145 zenon_H147 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_L204_); trivial. % 1.18/1.36 apply (zenon_L685_); trivial. % 1.18/1.36 (* end of lemma zenon_L793_ *) % 1.18/1.36 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4a zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H147 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_L793_); trivial. % 1.18/1.36 apply (zenon_L745_); trivial. % 1.18/1.36 (* end of lemma zenon_L794_ *) % 1.18/1.36 assert (zenon_L795_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H2b0 zenon_H117 zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_Hca zenon_H10e zenon_H105 zenon_H2a1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_Hb3 zenon_H25 zenon_H27 zenon_H111 zenon_H12a zenon_H19d zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L729_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.18/1.36 apply (zenon_L787_); trivial. % 1.18/1.36 apply (zenon_L731_); trivial. % 1.18/1.36 apply (zenon_L685_); trivial. % 1.18/1.36 apply (zenon_L789_); trivial. % 1.18/1.36 apply (zenon_L794_); trivial. % 1.18/1.36 (* end of lemma zenon_L795_ *) % 1.18/1.36 assert (zenon_L796_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1bc zenon_H1bd zenon_H1be zenon_H1f1 zenon_H1f2 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_Hb5 zenon_H35 zenon_H117 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.36 apply (zenon_L346_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.18/1.36 apply (zenon_L75_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.18/1.36 apply (zenon_L773_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.18/1.36 apply (zenon_L775_); trivial. % 1.18/1.36 exact (zenon_H13f zenon_H140). % 1.18/1.36 (* end of lemma zenon_L796_ *) % 1.18/1.36 assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.18/1.36 do 0 intro. intros zenon_Hc5 zenon_H237 zenon_H1a1 zenon_H7c zenon_H12b zenon_H12c zenon_H12d zenon_H3 zenon_H23a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.18/1.36 apply (zenon_L261_); trivial. % 1.18/1.36 apply (zenon_L255_); trivial. % 1.18/1.36 (* end of lemma zenon_L797_ *) % 1.18/1.36 assert (zenon_L798_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1b9 zenon_H201 zenon_H237 zenon_H3 zenon_H23a zenon_Hef zenon_Hb1 zenon_H21c zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L738_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.36 apply (zenon_L228_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L141_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.18/1.36 apply (zenon_L192_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.36 apply (zenon_L796_); trivial. % 1.18/1.36 apply (zenon_L797_); trivial. % 1.18/1.36 apply (zenon_L637_); trivial. % 1.18/1.36 apply (zenon_L640_); trivial. % 1.18/1.36 (* end of lemma zenon_L798_ *) % 1.18/1.36 assert (zenon_L799_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.18/1.36 apply (zenon_L231_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.18/1.36 apply (zenon_L628_); trivial. % 1.18/1.36 exact (zenon_H123 zenon_H124). % 1.18/1.36 (* end of lemma zenon_L799_ *) % 1.18/1.36 assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H162 zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L799_); trivial. % 1.18/1.36 apply (zenon_L126_); trivial. % 1.18/1.36 (* end of lemma zenon_L800_ *) % 1.18/1.36 assert (zenon_L801_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_L780_); trivial. % 1.18/1.36 apply (zenon_L800_); trivial. % 1.18/1.36 (* end of lemma zenon_L801_ *) % 1.18/1.36 assert (zenon_L802_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H59 zenon_H5b zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_L801_); trivial. % 1.18/1.36 (* end of lemma zenon_L802_ *) % 1.18/1.36 assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1db zenon_H1b9 zenon_H21c zenon_H1ae zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L802_); trivial. % 1.18/1.36 apply (zenon_L748_); trivial. % 1.18/1.36 (* end of lemma zenon_L803_ *) % 1.18/1.36 assert (zenon_L804_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (~(hskp4)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H2b0 zenon_Hfc zenon_Hfb zenon_H10c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H119 zenon_H13f. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.18/1.36 apply (zenon_L699_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.18/1.36 apply (zenon_L230_); trivial. % 1.18/1.36 exact (zenon_H13f zenon_H140). % 1.18/1.36 (* end of lemma zenon_L804_ *) % 1.18/1.36 assert (zenon_L805_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (c0_1 (a2409)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cb zenon_H12d zenon_H12c zenon_H12b zenon_H39 zenon_H2c zenon_H2b zenon_H2a zenon_H2b0 zenon_Hfc zenon_Hfb zenon_H10c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H13f. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.18/1.36 apply (zenon_L82_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.18/1.36 apply (zenon_L13_); trivial. % 1.18/1.36 apply (zenon_L804_); trivial. % 1.18/1.36 (* end of lemma zenon_L805_ *) % 1.18/1.36 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H141 zenon_H2a zenon_H2b zenon_H2c zenon_H2b0 zenon_H13f zenon_H20b zenon_H20a zenon_H209 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.18/1.36 apply (zenon_L192_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.36 apply (zenon_L346_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.18/1.36 apply (zenon_L194_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.18/1.36 apply (zenon_L805_); trivial. % 1.18/1.36 exact (zenon_H13f zenon_H140). % 1.18/1.36 (* end of lemma zenon_L806_ *) % 1.18/1.36 assert (zenon_L807_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_H59 zenon_H5b zenon_H1db zenon_H1ae zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H2a1 zenon_H105 zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H147 zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L738_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L141_); trivial. % 1.18/1.36 apply (zenon_L806_); trivial. % 1.18/1.36 apply (zenon_L685_); trivial. % 1.18/1.36 apply (zenon_L640_); trivial. % 1.18/1.36 (* end of lemma zenon_L807_ *) % 1.18/1.36 assert (zenon_L808_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_Hd9 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H1ae zenon_H1db zenon_H5b zenon_H59 zenon_H18d zenon_H111 zenon_H165 zenon_H4e zenon_H1cd. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.36 apply (zenon_L807_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L792_); trivial. % 1.18/1.36 apply (zenon_L748_); trivial. % 1.18/1.36 (* end of lemma zenon_L808_ *) % 1.18/1.36 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.18/1.36 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.36 apply (zenon_L346_); trivial. % 1.18/1.36 apply (zenon_L777_); trivial. % 1.18/1.36 (* end of lemma zenon_L809_ *) % 1.18/1.36 assert (zenon_L810_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H1b9 zenon_H201 zenon_He zenon_Hd zenon_Hc zenon_Hef zenon_Hb1 zenon_H21c zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L738_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.36 apply (zenon_L228_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L141_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.18/1.36 apply (zenon_L192_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.18/1.36 apply (zenon_L796_); trivial. % 1.18/1.36 apply (zenon_L809_); trivial. % 1.18/1.36 apply (zenon_L637_); trivial. % 1.18/1.36 apply (zenon_L745_); trivial. % 1.18/1.36 (* end of lemma zenon_L810_ *) % 1.18/1.36 assert (zenon_L811_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (c1_1 (a2432)) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.18/1.36 do 0 intro. intros zenon_Hef zenon_H3c zenon_H3a zenon_H3b zenon_Ha zenon_Hf9 zenon_Hed zenon_Hb1. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.18/1.36 apply (zenon_L388_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.18/1.36 exact (zenon_Hed zenon_Hee). % 1.18/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.18/1.36 (* end of lemma zenon_L811_ *) % 1.18/1.36 assert (zenon_L812_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H109 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc zenon_H2a1 zenon_H29a zenon_H299 zenon_H298. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.18/1.36 apply (zenon_L27_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.18/1.36 apply (zenon_L149_); trivial. % 1.18/1.36 apply (zenon_L698_); trivial. % 1.18/1.36 (* end of lemma zenon_L812_ *) % 1.18/1.36 assert (zenon_L813_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H45 zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H64 zenon_H65 zenon_H66 zenon_H1bc zenon_H1bd zenon_H1be zenon_Hef zenon_Hb1 zenon_H2ab. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.18/1.36 apply (zenon_L27_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.18/1.36 apply (zenon_L149_); trivial. % 1.18/1.36 apply (zenon_L811_); trivial. % 1.18/1.36 apply (zenon_L812_); trivial. % 1.18/1.36 (* end of lemma zenon_L813_ *) % 1.18/1.36 assert (zenon_L814_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_L204_); trivial. % 1.18/1.36 apply (zenon_L813_); trivial. % 1.18/1.36 (* end of lemma zenon_L814_ *) % 1.18/1.36 assert (zenon_L815_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H1b9 zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H2ab zenon_Hef zenon_H2a1 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H189 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L729_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.36 apply (zenon_L228_); trivial. % 1.18/1.36 apply (zenon_L814_); trivial. % 1.18/1.36 apply (zenon_L745_); trivial. % 1.18/1.36 (* end of lemma zenon_L815_ *) % 1.18/1.36 assert (zenon_L816_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H6d zenon_H62 zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1b9 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H165 zenon_H4e zenon_H1cd. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.18/1.36 apply (zenon_L815_); trivial. % 1.18/1.36 apply (zenon_L115_); trivial. % 1.18/1.36 (* end of lemma zenon_L816_ *) % 1.18/1.36 assert (zenon_L817_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L360_); trivial. % 1.18/1.36 apply (zenon_L265_); trivial. % 1.18/1.36 (* end of lemma zenon_L817_ *) % 1.18/1.36 assert (zenon_L818_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H2a1 zenon_H14c zenon_H14b zenon_H14a zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_Hb zenon_H159 zenon_H15a zenon_H15b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ]. % 1.18/1.36 apply (zenon_L95_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ]. % 1.18/1.36 apply (zenon_L628_); trivial. % 1.18/1.36 generalize (zenon_H1dd (a2427)). zenon_intro zenon_H2ba. % 1.18/1.36 apply (zenon_imply_s _ _ zenon_H2ba); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bb ]. % 1.18/1.36 exact (zenon_H9 zenon_Ha). % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2bc | zenon_intro zenon_H15e ]. % 1.18/1.36 generalize (zenon_Hb (a2427)). zenon_intro zenon_H2bd. % 1.18/1.36 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ]. % 1.18/1.36 exact (zenon_H9 zenon_Ha). % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ]. % 1.18/1.36 exact (zenon_H2bc zenon_H2c0). % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H15f | zenon_intro zenon_H161 ]. % 1.18/1.36 exact (zenon_H159 zenon_H15f). % 1.18/1.36 exact (zenon_H161 zenon_H15a). % 1.18/1.36 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 1.18/1.36 exact (zenon_H161 zenon_H15a). % 1.18/1.36 exact (zenon_H160 zenon_H15b). % 1.18/1.36 (* end of lemma zenon_L818_ *) % 1.18/1.36 assert (zenon_L819_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H264 zenon_H154 zenon_H15b zenon_H15a zenon_H159 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H14a zenon_H14b zenon_H14c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.18/1.36 apply (zenon_L353_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.18/1.36 apply (zenon_L818_); trivial. % 1.18/1.36 apply (zenon_L95_); trivial. % 1.18/1.36 (* end of lemma zenon_L819_ *) % 1.18/1.36 assert (zenon_L820_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H153 zenon_H267 zenon_H154 zenon_H298 zenon_H299 zenon_H29a zenon_H159 zenon_H15a zenon_H15b zenon_H2a1 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ]. % 1.18/1.36 apply (zenon_L352_); trivial. % 1.18/1.36 apply (zenon_L819_); trivial. % 1.18/1.36 (* end of lemma zenon_L820_ *) % 1.18/1.36 assert (zenon_L821_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H187 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_L632_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.36 apply (zenon_L817_); trivial. % 1.18/1.36 apply (zenon_L820_); trivial. % 1.18/1.36 (* end of lemma zenon_L821_ *) % 1.18/1.36 assert (zenon_L822_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.18/1.36 apply (zenon_L12_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.36 apply (zenon_L228_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.36 apply (zenon_L817_); trivial. % 1.18/1.36 apply (zenon_L741_); trivial. % 1.18/1.36 apply (zenon_L637_); trivial. % 1.18/1.36 apply (zenon_L640_); trivial. % 1.18/1.36 (* end of lemma zenon_L822_ *) % 1.18/1.36 assert (zenon_L823_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H264 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H2b9 ]. % 1.18/1.36 apply (zenon_L353_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H199 | zenon_intro zenon_H18f ]. % 1.18/1.36 apply (zenon_L628_); trivial. % 1.18/1.36 apply (zenon_L139_); trivial. % 1.18/1.36 (* end of lemma zenon_L823_ *) % 1.18/1.36 assert (zenon_L824_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1ce zenon_H267 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ]. % 1.18/1.36 apply (zenon_L352_); trivial. % 1.18/1.36 apply (zenon_L823_); trivial. % 1.18/1.36 (* end of lemma zenon_L824_ *) % 1.18/1.36 assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H267 zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L240_); trivial. % 1.18/1.36 apply (zenon_L824_); trivial. % 1.18/1.36 (* end of lemma zenon_L825_ *) % 1.18/1.36 assert (zenon_L826_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H13e zenon_H2b8 zenon_H217 zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H21c zenon_H237 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H5b zenon_H1cd zenon_H5e zenon_H62. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.18/1.36 apply (zenon_L821_); trivial. % 1.18/1.36 apply (zenon_L822_); trivial. % 1.18/1.36 apply (zenon_L825_); trivial. % 1.18/1.36 apply (zenon_L25_); trivial. % 1.18/1.36 apply (zenon_L45_); trivial. % 1.18/1.36 (* end of lemma zenon_L826_ *) % 1.18/1.36 assert (zenon_L827_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L658_); trivial. % 1.18/1.36 apply (zenon_L648_); trivial. % 1.18/1.36 (* end of lemma zenon_L827_ *) % 1.18/1.36 assert (zenon_L828_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.18/1.36 apply (zenon_L658_); trivial. % 1.18/1.36 apply (zenon_L740_); trivial. % 1.18/1.36 (* end of lemma zenon_L828_ *) % 1.18/1.36 assert (zenon_L829_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c2_1 (a2407))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H24e zenon_H24c zenon_H166 zenon_H24d zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.18/1.36 apply (zenon_L99_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.18/1.36 apply (zenon_L364_); trivial. % 1.18/1.36 apply (zenon_L144_); trivial. % 1.18/1.36 (* end of lemma zenon_L829_ *) % 1.18/1.36 assert (zenon_L830_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.18/1.36 apply (zenon_L818_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf0 ]. % 1.18/1.36 apply (zenon_L829_); trivial. % 1.18/1.36 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hee | zenon_intro zenon_Hb2 ]. % 1.18/1.36 exact (zenon_Hed zenon_Hee). % 1.18/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.18/1.36 exact (zenon_Hed zenon_Hee). % 1.18/1.36 apply (zenon_L629_); trivial. % 1.18/1.36 (* end of lemma zenon_L830_ *) % 1.18/1.36 assert (zenon_L831_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.36 apply (zenon_L691_); trivial. % 1.18/1.36 apply (zenon_L830_); trivial. % 1.18/1.36 (* end of lemma zenon_L831_ *) % 1.18/1.36 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.18/1.36 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.18/1.36 apply (zenon_L827_); trivial. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.18/1.36 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.18/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.18/1.36 apply (zenon_L817_); trivial. % 1.18/1.36 apply (zenon_L828_); trivial. % 1.18/1.36 apply (zenon_L831_); trivial. % 1.18/1.36 (* end of lemma zenon_L832_ *) % 1.18/1.36 assert (zenon_L833_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L690_); trivial. % 1.22/1.37 apply (zenon_L832_); trivial. % 1.22/1.37 (* end of lemma zenon_L833_ *) % 1.22/1.37 assert (zenon_L834_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H147 zenon_H1ae zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.37 apply (zenon_L833_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L240_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.37 apply (zenon_L747_); trivial. % 1.22/1.37 apply (zenon_L831_); trivial. % 1.22/1.37 apply (zenon_L656_); trivial. % 1.22/1.37 (* end of lemma zenon_L834_ *) % 1.22/1.37 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H8f zenon_H96 zenon_H21c zenon_H15 zenon_H243 zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H105 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H237 zenon_H2ab zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_H97. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.37 apply (zenon_L676_); trivial. % 1.22/1.37 apply (zenon_L695_); trivial. % 1.22/1.37 (* end of lemma zenon_L835_ *) % 1.22/1.37 assert (zenon_L836_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H5b zenon_H165 zenon_H4e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.37 apply (zenon_L40_); trivial. % 1.22/1.37 apply (zenon_L634_); trivial. % 1.22/1.37 apply (zenon_L704_); trivial. % 1.22/1.37 (* end of lemma zenon_L836_ *) % 1.22/1.37 assert (zenon_L837_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L836_); trivial. % 1.22/1.37 apply (zenon_L45_); trivial. % 1.22/1.37 (* end of lemma zenon_L837_ *) % 1.22/1.37 assert (zenon_L838_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H13b zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H14c zenon_H14b zenon_H14a zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.37 apply (zenon_L367_); trivial. % 1.22/1.37 apply (zenon_L629_); trivial. % 1.22/1.37 (* end of lemma zenon_L838_ *) % 1.22/1.37 assert (zenon_L839_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H153 zenon_H13a zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H35 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.37 apply (zenon_L80_); trivial. % 1.22/1.37 apply (zenon_L838_); trivial. % 1.22/1.37 (* end of lemma zenon_L839_ *) % 1.22/1.37 assert (zenon_L840_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H10d zenon_H158 zenon_H10e zenon_H2a1 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hb1 zenon_Hef zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L691_); trivial. % 1.22/1.37 apply (zenon_L636_); trivial. % 1.22/1.37 (* end of lemma zenon_L840_ *) % 1.22/1.37 assert (zenon_L841_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H45 zenon_H111 zenon_H158 zenon_H10e zenon_H2a1 zenon_H18d zenon_H59 zenon_Hb1 zenon_Hef zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.37 apply (zenon_L143_); trivial. % 1.22/1.37 apply (zenon_L840_); trivial. % 1.22/1.37 (* end of lemma zenon_L841_ *) % 1.22/1.37 assert (zenon_L842_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H59 zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L690_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L691_); trivial. % 1.22/1.37 apply (zenon_L839_); trivial. % 1.22/1.37 apply (zenon_L155_); trivial. % 1.22/1.37 apply (zenon_L841_); trivial. % 1.22/1.37 (* end of lemma zenon_L842_ *) % 1.22/1.37 assert (zenon_L843_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H13e zenon_H4e zenon_H247 zenon_Ha3 zenon_H217 zenon_H13a zenon_H189 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cd. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.37 apply (zenon_L842_); trivial. % 1.22/1.37 apply (zenon_L754_); trivial. % 1.22/1.37 (* end of lemma zenon_L843_ *) % 1.22/1.37 assert (zenon_L844_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H96 zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_Hc6 zenon_H15 zenon_H243 zenon_H19f zenon_H13a zenon_H217 zenon_H247 zenon_H13e zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H165 zenon_H4e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.37 apply (zenon_L837_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L843_); trivial. % 1.22/1.37 apply (zenon_L45_); trivial. % 1.22/1.37 (* end of lemma zenon_L844_ *) % 1.22/1.37 assert (zenon_L845_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L362_); trivial. % 1.22/1.37 apply (zenon_L824_); trivial. % 1.22/1.37 (* end of lemma zenon_L845_ *) % 1.22/1.37 assert (zenon_L846_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H59 zenon_H5b zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.37 apply (zenon_L845_); trivial. % 1.22/1.37 apply (zenon_L357_); trivial. % 1.22/1.37 (* end of lemma zenon_L846_ *) % 1.22/1.37 assert (zenon_L847_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H97 zenon_H6e zenon_H15 zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_H5b zenon_Hd9 zenon_H18d zenon_H111 zenon_H13e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L846_); trivial. % 1.22/1.37 apply (zenon_L28_); trivial. % 1.22/1.37 (* end of lemma zenon_L847_ *) % 1.22/1.37 assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H125 zenon_H154 zenon_Hed zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.22/1.37 apply (zenon_L6_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.22/1.37 apply (zenon_L393_); trivial. % 1.22/1.37 exact (zenon_Hed zenon_Hee). % 1.22/1.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.22/1.37 apply (zenon_L6_); trivial. % 1.22/1.37 apply (zenon_L95_); trivial. % 1.22/1.37 (* end of lemma zenon_L848_ *) % 1.22/1.37 assert (zenon_L849_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp29)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_Hed zenon_H16f zenon_Ha zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.37 apply (zenon_L140_); trivial. % 1.22/1.37 apply (zenon_L848_); trivial. % 1.22/1.37 (* end of lemma zenon_L849_ *) % 1.22/1.37 assert (zenon_L850_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H158 zenon_Hca zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H35 zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H15 zenon_H243 zenon_H13a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L691_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.37 apply (zenon_L75_); trivial. % 1.22/1.37 apply (zenon_L848_); trivial. % 1.22/1.37 apply (zenon_L717_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.37 apply (zenon_L849_); trivial. % 1.22/1.37 apply (zenon_L719_); trivial. % 1.22/1.37 (* end of lemma zenon_L850_ *) % 1.22/1.37 assert (zenon_L851_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L398_); trivial. % 1.22/1.37 apply (zenon_L830_); trivial. % 1.22/1.37 (* end of lemma zenon_L851_ *) % 1.22/1.37 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H4a zenon_H165 zenon_H16f zenon_H158 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H147 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H4b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_L402_); trivial. % 1.22/1.37 apply (zenon_L685_); trivial. % 1.22/1.37 apply (zenon_L851_); trivial. % 1.22/1.37 (* end of lemma zenon_L852_ *) % 1.22/1.37 assert (zenon_L853_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H255 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_Hef zenon_H158 zenon_Hca zenon_H19d zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a zenon_H4b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_L850_); trivial. % 1.22/1.37 apply (zenon_L722_); trivial. % 1.22/1.37 apply (zenon_L852_); trivial. % 1.22/1.37 (* end of lemma zenon_L853_ *) % 1.22/1.37 assert (zenon_L854_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H255 zenon_Hb1 zenon_Hb3 zenon_H147 zenon_Hef zenon_H158 zenon_Hca zenon_H19d zenon_H12a zenon_H154 zenon_Hc zenon_Hd zenon_He zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H117 zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H15 zenon_H243 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H189 zenon_H13a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L690_); trivial. % 1.22/1.37 apply (zenon_L853_); trivial. % 1.22/1.37 (* end of lemma zenon_L854_ *) % 1.22/1.37 assert (zenon_L855_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H6d zenon_H62 zenon_H21c zenon_H8d zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H243 zenon_H15 zenon_H10e zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H117 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_H158 zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H4e zenon_H1cd. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.37 apply (zenon_L854_); trivial. % 1.22/1.37 apply (zenon_L736_); trivial. % 1.22/1.37 (* end of lemma zenon_L855_ *) % 1.22/1.37 assert (zenon_L856_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H21c zenon_H8d zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H154 zenon_H147 zenon_Hb3 zenon_H255 zenon_H165 zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_Ha3 zenon_H247 zenon_H4e zenon_H13e. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L843_); trivial. % 1.22/1.37 apply (zenon_L855_); trivial. % 1.22/1.37 (* end of lemma zenon_L856_ *) % 1.22/1.37 assert (zenon_L857_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H4e zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H187 zenon_H189 zenon_H13a zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_L16_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L361_); trivial. % 1.22/1.37 apply (zenon_L666_); trivial. % 1.22/1.37 (* end of lemma zenon_L857_ *) % 1.22/1.37 assert (zenon_L858_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.22/1.37 apply (zenon_L228_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L817_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.37 apply (zenon_L80_); trivial. % 1.22/1.37 apply (zenon_L740_); trivial. % 1.22/1.37 apply (zenon_L637_); trivial. % 1.22/1.37 apply (zenon_L640_); trivial. % 1.22/1.37 (* end of lemma zenon_L858_ *) % 1.22/1.37 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H237 zenon_H21c zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H1ca zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H37 zenon_H33 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_Hef zenon_Hb1 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H4e zenon_H217 zenon_H257 zenon_H2b8 zenon_H267 zenon_H13e zenon_H19f zenon_H2ab zenon_H97. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L857_); trivial. % 1.22/1.37 apply (zenon_L858_); trivial. % 1.22/1.37 apply (zenon_L825_); trivial. % 1.22/1.37 apply (zenon_L25_); trivial. % 1.22/1.37 apply (zenon_L767_); trivial. % 1.22/1.37 apply (zenon_L695_); trivial. % 1.22/1.37 (* end of lemma zenon_L859_ *) % 1.22/1.37 assert (zenon_L860_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H10e zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.37 apply (zenon_L402_); trivial. % 1.22/1.37 apply (zenon_L813_); trivial. % 1.22/1.37 (* end of lemma zenon_L860_ *) % 1.22/1.37 assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H16f zenon_H1b9 zenon_H158 zenon_Hca zenon_H19d zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H2ab zenon_Hef zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H10e zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.22/1.37 apply (zenon_L228_); trivial. % 1.22/1.37 apply (zenon_L860_); trivial. % 1.22/1.37 apply (zenon_L851_); trivial. % 1.22/1.37 (* end of lemma zenon_L861_ *) % 1.22/1.37 assert (zenon_L862_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H243 zenon_H15 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.37 apply (zenon_L764_); trivial. % 1.22/1.37 apply (zenon_L830_); trivial. % 1.22/1.37 (* end of lemma zenon_L862_ *) % 1.22/1.37 assert (zenon_L863_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H6d zenon_H62 zenon_H243 zenon_H15 zenon_H21c zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_H2ab zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_Hca zenon_H158 zenon_H1b9 zenon_H16f zenon_H165 zenon_H4e zenon_H1cd. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L729_); trivial. % 1.22/1.37 apply (zenon_L861_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.37 apply (zenon_L729_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.37 apply (zenon_L242_); trivial. % 1.22/1.37 apply (zenon_L862_); trivial. % 1.22/1.37 (* end of lemma zenon_L863_ *) % 1.22/1.37 assert (zenon_L864_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H92 zenon_H96 zenon_H62 zenon_H21c zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H2ab zenon_Hb3 zenon_H1b9 zenon_H165 zenon_H4b zenon_H10e zenon_H2a1 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H243 zenon_H19d zenon_H19f zenon_H217 zenon_Ha3 zenon_H247 zenon_H4e zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd zenon_H15 zenon_H6e zenon_H97. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.37 apply (zenon_L847_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L843_); trivial. % 1.22/1.37 apply (zenon_L863_); trivial. % 1.22/1.37 (* end of lemma zenon_L864_ *) % 1.22/1.37 assert (zenon_L865_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H7c zenon_Haf zenon_H1cd zenon_H2b8 zenon_H29a zenon_H299 zenon_H298 zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158 zenon_H5e zenon_H5b zenon_Hd9 zenon_H18d zenon_H111 zenon_H13e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L846_); trivial. % 1.22/1.37 apply (zenon_L45_); trivial. % 1.22/1.37 (* end of lemma zenon_L865_ *) % 1.22/1.37 assert (zenon_L866_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H109 zenon_H270 zenon_H7c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.37 apply (zenon_L708_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.37 apply (zenon_L349_); trivial. % 1.22/1.37 apply (zenon_L191_); trivial. % 1.22/1.37 (* end of lemma zenon_L866_ *) % 1.22/1.37 assert (zenon_L867_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H13b zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_L367_); trivial. % 1.22/1.38 apply (zenon_L866_); trivial. % 1.22/1.38 (* end of lemma zenon_L867_ *) % 1.22/1.38 assert (zenon_L868_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c3_1 (a2432)) -> (~(c0_1 (a2432))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (c1_1 (a2432)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_H3c zenon_H3a zenon_H19 zenon_H3b zenon_Ha zenon_H7c. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.22/1.38 apply (zenon_L645_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.22/1.38 apply (zenon_L388_); trivial. % 1.22/1.38 exact (zenon_H7c zenon_H7d). % 1.22/1.38 (* end of lemma zenon_L868_ *) % 1.22/1.38 assert (zenon_L869_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H45 zenon_H270 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.38 apply (zenon_L868_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.38 apply (zenon_L349_); trivial. % 1.22/1.38 apply (zenon_L191_); trivial. % 1.22/1.38 (* end of lemma zenon_L869_ *) % 1.22/1.38 assert (zenon_L870_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H65 zenon_H64 zenon_H66 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H158. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_L402_); trivial. % 1.22/1.38 apply (zenon_L869_); trivial. % 1.22/1.38 (* end of lemma zenon_L870_ *) % 1.22/1.38 assert (zenon_L871_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H6d zenon_H1cd zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H1a1 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H19d zenon_Hca zenon_H158 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L729_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.38 apply (zenon_L31_); trivial. % 1.22/1.38 apply (zenon_L870_); trivial. % 1.22/1.38 (* end of lemma zenon_L871_ *) % 1.22/1.38 assert (zenon_L872_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H80 zenon_H97 zenon_H4e zenon_Hb3 zenon_H255 zenon_H154 zenon_H158 zenon_H7e zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H4b zenon_H1cd. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L690_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 apply (zenon_L867_); trivial. % 1.22/1.38 apply (zenon_L155_); trivial. % 1.22/1.38 apply (zenon_L869_); trivial. % 1.22/1.38 apply (zenon_L871_); trivial. % 1.22/1.38 (* end of lemma zenon_L872_ *) % 1.22/1.38 assert (zenon_L873_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H109 zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.22/1.38 apply (zenon_L27_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.22/1.38 apply (zenon_L733_); trivial. % 1.22/1.38 apply (zenon_L698_); trivial. % 1.22/1.38 (* end of lemma zenon_L873_ *) % 1.22/1.38 assert (zenon_L874_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp29)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H125 zenon_H154 zenon_Hed zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H24e zenon_H24c zenon_H24d zenon_H8d zenon_H1f2 zenon_H1f1 zenon_H86 zenon_H85 zenon_H84 zenon_H35 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H14a zenon_H14b zenon_H14c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.22/1.38 apply (zenon_L394_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.22/1.38 apply (zenon_L6_); trivial. % 1.22/1.38 apply (zenon_L95_); trivial. % 1.22/1.38 (* end of lemma zenon_L874_ *) % 1.22/1.38 assert (zenon_L875_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2437)) -> (c0_1 (a2437)) -> (~(c1_1 (a2437))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1fd zenon_Hca zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H12a zenon_H154 zenon_H14c zenon_H14b zenon_H14a zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H35 zenon_H117 zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H2ab zenon_H10e. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.38 apply (zenon_L75_); trivial. % 1.22/1.38 apply (zenon_L874_); trivial. % 1.22/1.38 apply (zenon_L873_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.38 apply (zenon_L140_); trivial. % 1.22/1.38 apply (zenon_L874_); trivial. % 1.22/1.38 apply (zenon_L719_); trivial. % 1.22/1.38 (* end of lemma zenon_L875_ *) % 1.22/1.38 assert (zenon_L876_ : ((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H45 zenon_H270 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_Ha. zenon_intro zenon_H47. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H3b. zenon_intro zenon_H48. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.38 apply (zenon_L664_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.38 apply (zenon_L349_); trivial. % 1.22/1.38 apply (zenon_L191_); trivial. % 1.22/1.38 (* end of lemma zenon_L876_ *) % 1.22/1.38 assert (zenon_L877_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H270 zenon_H158 zenon_Hca zenon_H19d zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H117 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H12a zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H66 zenon_H64 zenon_H65 zenon_H16f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H2ab zenon_H10e zenon_H201 zenon_H25 zenon_H27 zenon_H4b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.38 apply (zenon_L192_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_L396_); trivial. % 1.22/1.38 apply (zenon_L873_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.38 apply (zenon_L192_); trivial. % 1.22/1.38 apply (zenon_L875_); trivial. % 1.22/1.38 apply (zenon_L722_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_L402_); trivial. % 1.22/1.38 apply (zenon_L876_); trivial. % 1.22/1.38 (* end of lemma zenon_L877_ *) % 1.22/1.38 assert (zenon_L878_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H4b zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H270 zenon_H4e zenon_H1cd. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L729_); trivial. % 1.22/1.38 apply (zenon_L877_); trivial. % 1.22/1.38 apply (zenon_L405_); trivial. % 1.22/1.38 (* end of lemma zenon_L878_ *) % 1.22/1.38 assert (zenon_L879_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H13b zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_L367_); trivial. % 1.22/1.38 apply (zenon_L717_); trivial. % 1.22/1.38 (* end of lemma zenon_L879_ *) % 1.22/1.38 assert (zenon_L880_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H59 zenon_H18d zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H13a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 apply (zenon_L879_); trivial. % 1.22/1.38 apply (zenon_L408_); trivial. % 1.22/1.38 (* end of lemma zenon_L880_ *) % 1.22/1.38 assert (zenon_L881_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(c3_1 (a2420))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2409)) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hcd zenon_Hcc zenon_H4f zenon_Hda zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H10c zenon_Hfb zenon_Hfc. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.22/1.38 apply (zenon_L33_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.22/1.38 apply (zenon_L64_); trivial. % 1.22/1.38 apply (zenon_L698_); trivial. % 1.22/1.38 (* end of lemma zenon_L881_ *) % 1.22/1.38 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H109 zenon_H21c zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_Hda zenon_Hcc zenon_Hcd zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.22/1.38 apply (zenon_L733_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.22/1.38 apply (zenon_L881_); trivial. % 1.22/1.38 apply (zenon_L139_); trivial. % 1.22/1.38 (* end of lemma zenon_L882_ *) % 1.22/1.38 assert (zenon_L883_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H4a zenon_H10e zenon_H21c zenon_Hda zenon_Hcc zenon_Hcd zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_L282_); trivial. % 1.22/1.38 apply (zenon_L882_); trivial. % 1.22/1.38 (* end of lemma zenon_L883_ *) % 1.22/1.38 assert (zenon_L884_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H21c zenon_H247 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H18d zenon_H59 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L690_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.38 apply (zenon_L880_); trivial. % 1.22/1.38 apply (zenon_L883_); trivial. % 1.22/1.38 (* end of lemma zenon_L884_ *) % 1.22/1.38 assert (zenon_L885_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H5d zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H84 zenon_H85 zenon_H86 zenon_H8d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_L34_); trivial. % 1.22/1.38 apply (zenon_L876_); trivial. % 1.22/1.38 (* end of lemma zenon_L885_ *) % 1.22/1.38 assert (zenon_L886_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H6d zenon_H62 zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H105 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H16f zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H270 zenon_H4e zenon_H1cd. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L690_); trivial. % 1.22/1.38 apply (zenon_L877_); trivial. % 1.22/1.38 apply (zenon_L885_); trivial. % 1.22/1.38 (* end of lemma zenon_L886_ *) % 1.22/1.38 assert (zenon_L887_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H8f zenon_H96 zenon_H21c zenon_H247 zenon_Hef zenon_H1ae zenon_H13e zenon_H111 zenon_H18d zenon_Hd9 zenon_H5e zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H298 zenon_H299 zenon_H29a zenon_H2b8 zenon_H1cd zenon_H4e zenon_H270 zenon_Hca zenon_H19d zenon_H117 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb3 zenon_Hb1 zenon_H8d zenon_H1cb zenon_H16f zenon_H105 zenon_H2a1 zenon_H2ab zenon_H10e zenon_H201 zenon_H27 zenon_H4b zenon_H19f zenon_Hb7 zenon_H1 zenon_H62 zenon_H97. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_L846_); trivial. % 1.22/1.38 apply (zenon_L878_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.38 apply (zenon_L845_); trivial. % 1.22/1.38 apply (zenon_L884_); trivial. % 1.22/1.38 apply (zenon_L410_); trivial. % 1.22/1.38 apply (zenon_L886_); trivial. % 1.22/1.38 (* end of lemma zenon_L887_ *) % 1.22/1.38 assert (zenon_L888_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L738_); trivial. % 1.22/1.38 apply (zenon_L822_); trivial. % 1.22/1.38 (* end of lemma zenon_L888_ *) % 1.22/1.38 assert (zenon_L889_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_Hd9 zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H4b zenon_H111 zenon_H10e zenon_H18d zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H2a1 zenon_H21c zenon_H237 zenon_H158 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.38 apply (zenon_L888_); trivial. % 1.22/1.38 apply (zenon_L749_); trivial. % 1.22/1.38 apply (zenon_L25_); trivial. % 1.22/1.38 apply (zenon_L28_); trivial. % 1.22/1.38 (* end of lemma zenon_L889_ *) % 1.22/1.38 assert (zenon_L890_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H96 zenon_Haf zenon_H2ab zenon_H16f zenon_H7c zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H13e zenon_H6e zenon_H97. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.38 apply (zenon_L889_); trivial. % 1.22/1.38 apply (zenon_L834_); trivial. % 1.22/1.38 (* end of lemma zenon_L890_ *) % 1.22/1.38 assert (zenon_L891_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H73 zenon_H74 zenon_H75 zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L738_); trivial. % 1.22/1.38 apply (zenon_L832_); trivial. % 1.22/1.38 (* end of lemma zenon_L891_ *) % 1.22/1.38 assert (zenon_L892_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H21c zenon_H8d zenon_H4b zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H117 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H1cd zenon_H4e zenon_H158 zenon_H10e zenon_H2a1 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H15 zenon_H243 zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H13e. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_L755_); trivial. % 1.22/1.38 apply (zenon_L855_); trivial. % 1.22/1.38 (* end of lemma zenon_L892_ *) % 1.22/1.38 assert (zenon_L893_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L738_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.38 apply (zenon_L12_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.38 apply (zenon_L817_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.38 apply (zenon_L80_); trivial. % 1.22/1.38 apply (zenon_L694_); trivial. % 1.22/1.38 apply (zenon_L637_); trivial. % 1.22/1.38 apply (zenon_L640_); trivial. % 1.22/1.38 (* end of lemma zenon_L893_ *) % 1.22/1.38 assert (zenon_L894_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Hc3 zenon_H126 zenon_H12a zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H147 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.38 apply (zenon_L12_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.38 apply (zenon_L817_); trivial. % 1.22/1.38 apply (zenon_L839_); trivial. % 1.22/1.38 apply (zenon_L155_); trivial. % 1.22/1.38 apply (zenon_L637_); trivial. % 1.22/1.38 apply (zenon_L640_); trivial. % 1.22/1.38 (* end of lemma zenon_L894_ *) % 1.22/1.38 assert (zenon_L895_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H16f zenon_H1ae zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H147 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.38 apply (zenon_L738_); trivial. % 1.22/1.38 apply (zenon_L894_); trivial. % 1.22/1.38 (* end of lemma zenon_L895_ *) % 1.22/1.38 assert (zenon_L896_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1b9 zenon_Hd9 zenon_H21c zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H147 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.38 apply (zenon_L895_); trivial. % 1.22/1.38 apply (zenon_L749_); trivial. % 1.22/1.38 apply (zenon_L25_); trivial. % 1.22/1.38 apply (zenon_L28_); trivial. % 1.22/1.38 (* end of lemma zenon_L896_ *) % 1.22/1.38 assert (zenon_L897_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H13a zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7 zenon_H1ae zenon_H16f zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.38 apply (zenon_L360_); trivial. % 1.22/1.38 apply (zenon_L867_); trivial. % 1.22/1.38 (* end of lemma zenon_L897_ *) % 1.22/1.38 assert (zenon_L898_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H153 zenon_H13a zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f zenon_H126 zenon_Hc3 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.38 apply (zenon_L737_); trivial. % 1.22/1.38 apply (zenon_L838_); trivial. % 1.22/1.38 (* end of lemma zenon_L898_ *) % 1.22/1.38 assert (zenon_L899_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H4b zenon_H145 zenon_H147 zenon_H158 zenon_H20b zenon_H20a zenon_H209 zenon_H19f zenon_H12a zenon_H126 zenon_Hc3 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H16f zenon_H1ae zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H13a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.38 apply (zenon_L897_); trivial. % 1.22/1.38 apply (zenon_L898_); trivial. % 1.22/1.38 apply (zenon_L155_); trivial. % 1.22/1.38 apply (zenon_L637_); trivial. % 1.22/1.38 (* end of lemma zenon_L899_ *) % 1.22/1.38 assert (zenon_L900_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H166 zenon_H159 zenon_H15a zenon_H15b zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.38 apply (zenon_L829_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.38 apply (zenon_L349_); trivial. % 1.22/1.38 apply (zenon_L191_); trivial. % 1.22/1.38 (* end of lemma zenon_L900_ *) % 1.22/1.38 assert (zenon_L901_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp29)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H16f zenon_H298 zenon_H299 zenon_H29a zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H1cb zenon_H15b zenon_H15a zenon_H159 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H270 zenon_Hed. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.22/1.38 apply (zenon_L818_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.22/1.38 apply (zenon_L900_); trivial. % 1.22/1.38 exact (zenon_Hed zenon_Hee). % 1.22/1.38 (* end of lemma zenon_L901_ *) % 1.22/1.38 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.38 apply (zenon_L901_); trivial. % 1.22/1.38 apply (zenon_L629_); trivial. % 1.22/1.38 (* end of lemma zenon_L902_ *) % 1.22/1.38 assert (zenon_L903_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H16f zenon_H5b zenon_H1db. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.39 apply (zenon_L169_); trivial. % 1.22/1.39 apply (zenon_L902_); trivial. % 1.22/1.39 (* end of lemma zenon_L903_ *) % 1.22/1.39 assert (zenon_L904_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H158 zenon_H147 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L738_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L899_); trivial. % 1.22/1.39 apply (zenon_L903_); trivial. % 1.22/1.39 (* end of lemma zenon_L904_ *) % 1.22/1.39 assert (zenon_L905_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1cb zenon_Hfc zenon_Hfb zenon_Hf9 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.22/1.39 apply (zenon_L66_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.22/1.39 apply (zenon_L13_); trivial. % 1.22/1.39 apply (zenon_L144_); trivial. % 1.22/1.39 (* end of lemma zenon_L905_ *) % 1.22/1.39 assert (zenon_L906_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H109 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.22/1.39 apply (zenon_L33_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.22/1.39 apply (zenon_L645_); trivial. % 1.22/1.39 apply (zenon_L905_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.39 apply (zenon_L349_); trivial. % 1.22/1.39 apply (zenon_L191_); trivial. % 1.22/1.39 (* end of lemma zenon_L906_ *) % 1.22/1.39 assert (zenon_L907_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (~(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H13b zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_Hd7 zenon_H1ae zenon_H16f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.39 apply (zenon_L367_); trivial. % 1.22/1.39 apply (zenon_L906_); trivial. % 1.22/1.39 (* end of lemma zenon_L907_ *) % 1.22/1.39 assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4a zenon_H111 zenon_H59 zenon_H18d zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H13a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.39 apply (zenon_L737_); trivial. % 1.22/1.39 apply (zenon_L907_); trivial. % 1.22/1.39 apply (zenon_L408_); trivial. % 1.22/1.39 (* end of lemma zenon_L908_ *) % 1.22/1.39 assert (zenon_L909_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H4b zenon_H158 zenon_H147 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_H1db zenon_H5b zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H165 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L738_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.39 apply (zenon_L141_); trivial. % 1.22/1.39 apply (zenon_L879_); trivial. % 1.22/1.39 apply (zenon_L155_); trivial. % 1.22/1.39 apply (zenon_L685_); trivial. % 1.22/1.39 apply (zenon_L903_); trivial. % 1.22/1.39 apply (zenon_L908_); trivial. % 1.22/1.39 (* end of lemma zenon_L909_ *) % 1.22/1.39 assert (zenon_L910_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H13e zenon_H21c zenon_H247 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H59 zenon_H18d zenon_H75 zenon_H74 zenon_H73 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H4e zenon_H1cd. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L738_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L880_); trivial. % 1.22/1.39 apply (zenon_L908_); trivial. % 1.22/1.39 apply (zenon_L884_); trivial. % 1.22/1.39 (* end of lemma zenon_L910_ *) % 1.22/1.39 assert (zenon_L911_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H96 zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H3 zenon_H23a zenon_H19f zenon_H1cd zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H1db zenon_H165 zenon_H4e zenon_Haf zenon_H7c zenon_Hb3 zenon_H97. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.39 apply (zenon_L837_); trivial. % 1.22/1.39 apply (zenon_L663_); trivial. % 1.22/1.39 (* end of lemma zenon_L911_ *) % 1.22/1.39 assert (zenon_L912_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H8d zenon_H1ae zenon_H4b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.22/1.39 apply (zenon_L454_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L617_); trivial. % 1.22/1.39 apply (zenon_L637_); trivial. % 1.22/1.39 (* end of lemma zenon_L912_ *) % 1.22/1.39 assert (zenon_L913_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L912_); trivial. % 1.22/1.39 apply (zenon_L640_); trivial. % 1.22/1.39 (* end of lemma zenon_L913_ *) % 1.22/1.39 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L40_); trivial. % 1.22/1.39 apply (zenon_L913_); trivial. % 1.22/1.39 (* end of lemma zenon_L914_ *) % 1.22/1.39 assert (zenon_L915_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_Ha zenon_H35 zenon_H8d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L426_); trivial. % 1.22/1.39 apply (zenon_L731_); trivial. % 1.22/1.39 (* end of lemma zenon_L915_ *) % 1.22/1.39 assert (zenon_L916_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hb3 zenon_H66 zenon_H65 zenon_H64 zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_H111. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L915_); trivial. % 1.22/1.39 apply (zenon_L86_); trivial. % 1.22/1.39 (* end of lemma zenon_L916_ *) % 1.22/1.39 assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L916_); trivial. % 1.22/1.39 apply (zenon_L87_); trivial. % 1.22/1.39 (* end of lemma zenon_L917_ *) % 1.22/1.39 assert (zenon_L918_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H6d zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hb3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.39 apply (zenon_L104_); trivial. % 1.22/1.39 apply (zenon_L700_); trivial. % 1.22/1.39 (* end of lemma zenon_L918_ *) % 1.22/1.39 assert (zenon_L919_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H80 zenon_H97 zenon_H10e zenon_H2b0 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_H16f zenon_Hb1 zenon_Hb3 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_L918_); trivial. % 1.22/1.39 (* end of lemma zenon_L919_ *) % 1.22/1.39 assert (zenon_L920_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H204 zenon_H178 zenon_H7e zenon_H5e zenon_H98 zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H1ca zenon_H105 zenon_Hb7 zenon_Hc6 zenon_H2ab zenon_H97 zenon_Hb3 zenon_Haf zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H19f zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H13a zenon_H96 zenon_H141 zenon_H62 zenon_H27 zenon_H16f zenon_H95. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.39 apply (zenon_L911_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_L52_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L40_); trivial. % 1.22/1.39 apply (zenon_L668_); trivial. % 1.22/1.39 apply (zenon_L914_); trivial. % 1.22/1.39 apply (zenon_L675_); trivial. % 1.22/1.39 apply (zenon_L680_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.39 apply (zenon_L89_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_L52_); trivial. % 1.22/1.39 apply (zenon_L917_); trivial. % 1.22/1.39 apply (zenon_L115_); trivial. % 1.22/1.39 apply (zenon_L919_); trivial. % 1.22/1.39 apply (zenon_L707_); trivial. % 1.22/1.39 (* end of lemma zenon_L920_ *) % 1.22/1.39 assert (zenon_L921_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp5)) -> (~(hskp19)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H111 zenon_H13a zenon_H1a3 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_Hb1 zenon_Hef zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H23 zenon_H25 zenon_H27 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H33 zenon_H35 zenon_H37 zenon_Hca. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L433_); trivial. % 1.22/1.39 apply (zenon_L710_); trivial. % 1.22/1.39 (* end of lemma zenon_L921_ *) % 1.22/1.39 assert (zenon_L922_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4e zenon_H4b zenon_H158 zenon_H189 zenon_H187 zenon_H147 zenon_Hca zenon_H37 zenon_H33 zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1 zenon_H5b zenon_Hb7 zenon_H10e zenon_H27 zenon_H25 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Hef zenon_Hb1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hc zenon_Hd zenon_He zenon_H1a3 zenon_H13a zenon_H111 zenon_H1db zenon_H165. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L921_); trivial. % 1.22/1.39 apply (zenon_L631_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L921_); trivial. % 1.22/1.39 apply (zenon_L633_); trivial. % 1.22/1.39 apply (zenon_L634_); trivial. % 1.22/1.39 (* end of lemma zenon_L922_ *) % 1.22/1.39 assert (zenon_L923_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H1ae zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L438_); trivial. % 1.22/1.39 apply (zenon_L637_); trivial. % 1.22/1.39 (* end of lemma zenon_L923_ *) % 1.22/1.39 assert (zenon_L924_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L923_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L438_); trivial. % 1.22/1.39 apply (zenon_L639_); trivial. % 1.22/1.39 (* end of lemma zenon_L924_ *) % 1.22/1.39 assert (zenon_L925_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H18d zenon_H59 zenon_H111. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L438_); trivial. % 1.22/1.39 apply (zenon_L685_); trivial. % 1.22/1.39 (* end of lemma zenon_L925_ *) % 1.22/1.39 assert (zenon_L926_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H111 zenon_H158 zenon_H10e zenon_H105 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H159 zenon_H15a zenon_H15b zenon_H1db zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L437_); trivial. % 1.22/1.39 apply (zenon_L721_); trivial. % 1.22/1.39 (* end of lemma zenon_L926_ *) % 1.22/1.39 assert (zenon_L927_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H162 zenon_H4b zenon_H27 zenon_H25 zenon_H23 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_H158 zenon_H111. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L926_); trivial. % 1.22/1.39 apply (zenon_L722_); trivial. % 1.22/1.39 (* end of lemma zenon_L927_ *) % 1.22/1.39 assert (zenon_L928_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H1ae zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H147 zenon_H13a zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_H5b zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H59 zenon_H111 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1db zenon_H25 zenon_H27 zenon_H165. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L925_); trivial. % 1.22/1.39 apply (zenon_L927_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_L925_); trivial. % 1.22/1.39 apply (zenon_L640_); trivial. % 1.22/1.39 (* end of lemma zenon_L928_ *) % 1.22/1.39 assert (zenon_L929_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H4b zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H111. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L441_); trivial. % 1.22/1.39 apply (zenon_L722_); trivial. % 1.22/1.39 (* end of lemma zenon_L929_ *) % 1.22/1.39 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L929_); trivial. % 1.22/1.39 apply (zenon_L913_); trivial. % 1.22/1.39 (* end of lemma zenon_L930_ *) % 1.22/1.39 assert (zenon_L931_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_H35 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L437_); trivial. % 1.22/1.39 apply (zenon_L731_); trivial. % 1.22/1.39 (* end of lemma zenon_L931_ *) % 1.22/1.39 assert (zenon_L932_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H165 zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_Hca zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H13a zenon_H147 zenon_H158 zenon_H4b. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_L931_); trivial. % 1.22/1.39 apply (zenon_L685_); trivial. % 1.22/1.39 apply (zenon_L927_); trivial. % 1.22/1.39 (* end of lemma zenon_L932_ *) % 1.22/1.39 assert (zenon_L933_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H285 zenon_H2b8 zenon_H154 zenon_H1a3 zenon_H201 zenon_H1ed zenon_H126 zenon_H178 zenon_H8d zenon_Hb3 zenon_H141 zenon_H7e zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H1a1 zenon_H19f zenon_H23a zenon_H13a zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H16f zenon_Ha3 zenon_Hc6 zenon_Hb7 zenon_H21c zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H13e zenon_H286. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.22/1.39 apply (zenon_L682_); trivial. % 1.22/1.39 apply (zenon_L920_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.39 apply (zenon_L4_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L922_); trivial. % 1.22/1.39 apply (zenon_L924_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L922_); trivial. % 1.22/1.39 apply (zenon_L442_); trivial. % 1.22/1.39 apply (zenon_L25_); trivial. % 1.22/1.39 apply (zenon_L45_); trivial. % 1.22/1.39 apply (zenon_L114_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L433_); trivial. % 1.22/1.39 apply (zenon_L718_); trivial. % 1.22/1.39 apply (zenon_L631_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L433_); trivial. % 1.22/1.39 apply (zenon_L721_); trivial. % 1.22/1.39 apply (zenon_L667_); trivial. % 1.22/1.39 apply (zenon_L668_); trivial. % 1.22/1.39 apply (zenon_L928_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.39 apply (zenon_L426_); trivial. % 1.22/1.39 apply (zenon_L718_); trivial. % 1.22/1.39 apply (zenon_L722_); trivial. % 1.22/1.39 apply (zenon_L634_); trivial. % 1.22/1.39 apply (zenon_L930_); trivial. % 1.22/1.39 apply (zenon_L25_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.39 apply (zenon_L729_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L932_); trivial. % 1.22/1.39 apply (zenon_L87_); trivial. % 1.22/1.39 apply (zenon_L917_); trivial. % 1.22/1.39 apply (zenon_L115_); trivial. % 1.22/1.39 apply (zenon_L702_); trivial. % 1.22/1.39 apply (zenon_L681_); trivial. % 1.22/1.39 apply (zenon_L920_); trivial. % 1.22/1.39 (* end of lemma zenon_L933_ *) % 1.22/1.39 assert (zenon_L934_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_L913_); trivial. % 1.22/1.39 (* end of lemma zenon_L934_ *) % 1.22/1.39 assert (zenon_L935_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L240_); trivial. % 1.22/1.40 apply (zenon_L934_); trivial. % 1.22/1.40 (* end of lemma zenon_L935_ *) % 1.22/1.40 assert (zenon_L936_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H178 zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1db zenon_H13e zenon_H2ab zenon_H1a1 zenon_Haf zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.40 apply (zenon_L227_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L746_); trivial. % 1.22/1.40 apply (zenon_L935_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L656_); trivial. % 1.22/1.40 apply (zenon_L663_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L750_); trivial. % 1.22/1.40 apply (zenon_L935_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L767_); trivial. % 1.22/1.40 apply (zenon_L680_); trivial. % 1.22/1.40 apply (zenon_L37_); trivial. % 1.22/1.40 (* end of lemma zenon_L936_ *) % 1.22/1.40 assert (zenon_L937_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L52_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L240_); trivial. % 1.22/1.40 apply (zenon_L914_); trivial. % 1.22/1.40 apply (zenon_L28_); trivial. % 1.22/1.40 (* end of lemma zenon_L937_ *) % 1.22/1.40 assert (zenon_L938_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L240_); trivial. % 1.22/1.40 apply (zenon_L930_); trivial. % 1.22/1.40 (* end of lemma zenon_L938_ *) % 1.22/1.40 assert (zenon_L939_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H27 zenon_H4b zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L52_); trivial. % 1.22/1.40 apply (zenon_L938_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L28_); trivial. % 1.22/1.40 (* end of lemma zenon_L939_ *) % 1.22/1.40 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H62 zenon_H5e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_H4b zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H111 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H6e zenon_H97. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_L939_); trivial. % 1.22/1.40 apply (zenon_L695_); trivial. % 1.22/1.40 (* end of lemma zenon_L940_ *) % 1.22/1.40 assert (zenon_L941_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H243 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H23a zenon_H3 zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H96. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_L937_); trivial. % 1.22/1.40 apply (zenon_L663_); trivial. % 1.22/1.40 apply (zenon_L940_); trivial. % 1.22/1.40 (* end of lemma zenon_L941_ *) % 1.22/1.40 assert (zenon_L942_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H13f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.22/1.40 apply (zenon_L743_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.22/1.40 apply (zenon_L29_); trivial. % 1.22/1.40 exact (zenon_H13f zenon_H140). % 1.22/1.40 (* end of lemma zenon_L942_ *) % 1.22/1.40 assert (zenon_L943_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H162 zenon_H12a zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.40 apply (zenon_L942_); trivial. % 1.22/1.40 apply (zenon_L287_); trivial. % 1.22/1.40 (* end of lemma zenon_L943_ *) % 1.22/1.40 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L912_); trivial. % 1.22/1.40 apply (zenon_L943_); trivial. % 1.22/1.40 (* end of lemma zenon_L944_ *) % 1.22/1.40 assert (zenon_L945_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L690_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L31_); trivial. % 1.22/1.40 apply (zenon_L944_); trivial. % 1.22/1.40 (* end of lemma zenon_L945_ *) % 1.22/1.40 assert (zenon_L946_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H96 zenon_Hb3 zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H7e zenon_H7c zenon_H2b0 zenon_H13f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_L937_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L753_); trivial. % 1.22/1.40 apply (zenon_L945_); trivial. % 1.22/1.40 apply (zenon_L45_); trivial. % 1.22/1.40 (* end of lemma zenon_L946_ *) % 1.22/1.40 assert (zenon_L947_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H13e zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H111 zenon_H59 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H147 zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H2b0 zenon_H13f zenon_H1cb zenon_H19d zenon_H165 zenon_H4e zenon_H1cd. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L768_); trivial. % 1.22/1.40 apply (zenon_L938_); trivial. % 1.22/1.40 (* end of lemma zenon_L947_ *) % 1.22/1.40 assert (zenon_L948_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H19d zenon_Hef zenon_Hb1 zenon_Hc zenon_Hd zenon_He zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H7c zenon_H1cb zenon_H141 zenon_H10e zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1ae zenon_H147 zenon_H59 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L738_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.40 apply (zenon_L80_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.40 apply (zenon_L346_); trivial. % 1.22/1.40 apply (zenon_L782_); trivial. % 1.22/1.40 apply (zenon_L51_); trivial. % 1.22/1.40 apply (zenon_L637_); trivial. % 1.22/1.40 apply (zenon_L640_); trivial. % 1.22/1.40 (* end of lemma zenon_L948_ *) % 1.22/1.40 assert (zenon_L949_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp14)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4e zenon_H4b zenon_H141 zenon_He zenon_Hd zenon_Hc zenon_H10e zenon_H12a zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H1cb zenon_H117 zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef zenon_Hc3 zenon_Hc6 zenon_Hca zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L40_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.40 apply (zenon_L346_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.40 apply (zenon_L75_); trivial. % 1.22/1.40 apply (zenon_L783_); trivial. % 1.22/1.40 apply (zenon_L51_); trivial. % 1.22/1.40 apply (zenon_L86_); trivial. % 1.22/1.40 (* end of lemma zenon_L949_ *) % 1.22/1.40 assert (zenon_L950_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L690_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_L944_); trivial. % 1.22/1.40 (* end of lemma zenon_L950_ *) % 1.22/1.40 assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H12a zenon_H19d zenon_H29a zenon_H299 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L31_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L446_); trivial. % 1.22/1.40 apply (zenon_L745_); trivial. % 1.22/1.40 (* end of lemma zenon_L951_ *) % 1.22/1.40 assert (zenon_L952_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4e zenon_H165 zenon_H12a zenon_H19d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_H21c zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L690_); trivial. % 1.22/1.40 apply (zenon_L951_); trivial. % 1.22/1.40 (* end of lemma zenon_L952_ *) % 1.22/1.40 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H175 zenon_H95 zenon_H6e zenon_H141 zenon_H7e zenon_Ha3 zenon_Hb3 zenon_H96 zenon_H2b0 zenon_H13f zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_H2ab zenon_H237 zenon_H1a1 zenon_H23a zenon_Haf zenon_H97 zenon_H105 zenon_H98. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L760_); trivial. % 1.22/1.40 apply (zenon_L935_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L656_); trivial. % 1.22/1.40 apply (zenon_L663_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_L947_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L767_); trivial. % 1.22/1.40 apply (zenon_L706_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L948_); trivial. % 1.22/1.40 apply (zenon_L935_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_L28_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_L949_); trivial. % 1.22/1.40 apply (zenon_L950_); trivial. % 1.22/1.40 apply (zenon_L952_); trivial. % 1.22/1.40 apply (zenon_L45_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_L947_); trivial. % 1.22/1.40 apply (zenon_L115_); trivial. % 1.22/1.40 apply (zenon_L28_); trivial. % 1.22/1.40 apply (zenon_L706_); trivial. % 1.22/1.40 (* end of lemma zenon_L953_ *) % 1.22/1.40 assert (zenon_L954_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H109 zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.40 apply (zenon_L75_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.22/1.40 apply (zenon_L435_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.22/1.40 apply (zenon_L775_); trivial. % 1.22/1.40 exact (zenon_H13f zenon_H140). % 1.22/1.40 (* end of lemma zenon_L954_ *) % 1.22/1.40 assert (zenon_L955_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117 zenon_H16f zenon_H75 zenon_H74 zenon_H73 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H247. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.40 apply (zenon_L282_); trivial. % 1.22/1.40 apply (zenon_L954_); trivial. % 1.22/1.40 (* end of lemma zenon_L955_ *) % 1.22/1.40 assert (zenon_L956_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H96 zenon_H7e zenon_H247 zenon_H16f zenon_H2b0 zenon_H1a1 zenon_H4e zenon_H13e zenon_Hc zenon_Hd zenon_He zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H1ae zenon_H201 zenon_H141 zenon_H13f zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1 zenon_Hb7 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H1db zenon_H165 zenon_H1cd zenon_Haf zenon_H7c zenon_Hb3 zenon_H97. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L738_); trivial. % 1.22/1.40 apply (zenon_L924_); trivial. % 1.22/1.40 apply (zenon_L465_); trivial. % 1.22/1.40 apply (zenon_L45_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L690_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L31_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.40 apply (zenon_L658_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.40 apply (zenon_L192_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.40 apply (zenon_L955_); trivial. % 1.22/1.40 apply (zenon_L784_); trivial. % 1.22/1.40 apply (zenon_L155_); trivial. % 1.22/1.40 apply (zenon_L637_); trivial. % 1.22/1.40 apply (zenon_L745_); trivial. % 1.22/1.40 apply (zenon_L45_); trivial. % 1.22/1.40 (* end of lemma zenon_L956_ *) % 1.22/1.40 assert (zenon_L957_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp17)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H145 zenon_H147 zenon_H8d zenon_Ha zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_L464_); trivial. % 1.22/1.40 apply (zenon_L631_); trivial. % 1.22/1.40 (* end of lemma zenon_L957_ *) % 1.22/1.40 assert (zenon_L958_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H162 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.40 apply (zenon_L426_); trivial. % 1.22/1.40 apply (zenon_L721_); trivial. % 1.22/1.40 apply (zenon_L86_); trivial. % 1.22/1.40 (* end of lemma zenon_L958_ *) % 1.22/1.40 assert (zenon_L959_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H20b zenon_H20a zenon_H209 zenon_H2b0 zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H147 zenon_H158 zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_Hb3 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L729_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L916_); trivial. % 1.22/1.40 apply (zenon_L794_); trivial. % 1.22/1.40 (* end of lemma zenon_L959_ *) % 1.22/1.40 assert (zenon_L960_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H97 zenon_H2b0 zenon_Hb3 zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H165 zenon_H27 zenon_H1db zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hb7 zenon_H5b zenon_H1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H13f zenon_H141 zenon_H201 zenon_H147 zenon_Hef zenon_Hb1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ae zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L738_); trivial. % 1.22/1.40 apply (zenon_L928_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L957_); trivial. % 1.22/1.40 apply (zenon_L958_); trivial. % 1.22/1.40 apply (zenon_L930_); trivial. % 1.22/1.40 apply (zenon_L25_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L738_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L932_); trivial. % 1.22/1.40 apply (zenon_L794_); trivial. % 1.22/1.40 apply (zenon_L959_); trivial. % 1.22/1.40 apply (zenon_L115_); trivial. % 1.22/1.40 (* end of lemma zenon_L960_ *) % 1.22/1.40 assert (zenon_L961_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2455)) -> (c2_1 (a2455)) -> (~(c0_1 (a2455))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp26)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H10e zenon_H12a zenon_H141 zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H299 zenon_H29a zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H12d zenon_H12c zenon_H12b zenon_H13f zenon_H2b0 zenon_H1f1 zenon_H1f2 zenon_Hd9 zenon_Hd7 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb5 zenon_H35 zenon_H117 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_Hb1 zenon_Hef. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.40 apply (zenon_L346_); trivial. % 1.22/1.40 apply (zenon_L954_); trivial. % 1.22/1.40 (* end of lemma zenon_L961_ *) % 1.22/1.40 assert (zenon_L962_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H13b zenon_H201 zenon_Hca zenon_H237 zenon_H3 zenon_H23a zenon_Hef zenon_Hb1 zenon_H1c zenon_H1b zenon_H1a zenon_H117 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H29a zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.40 apply (zenon_L192_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.40 apply (zenon_L961_); trivial. % 1.22/1.40 apply (zenon_L797_); trivial. % 1.22/1.40 (* end of lemma zenon_L962_ *) % 1.22/1.40 assert (zenon_L963_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_L957_); trivial. % 1.22/1.40 apply (zenon_L800_); trivial. % 1.22/1.40 (* end of lemma zenon_L963_ *) % 1.22/1.40 assert (zenon_L964_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_L963_); trivial. % 1.22/1.40 (* end of lemma zenon_L964_ *) % 1.22/1.40 assert (zenon_L965_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L964_); trivial. % 1.22/1.40 apply (zenon_L934_); trivial. % 1.22/1.40 (* end of lemma zenon_L965_ *) % 1.22/1.40 assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(hskp20)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H109 zenon_H141 zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_Hd7 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H2b0 zenon_H2a zenon_H2b zenon_H2c zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H13f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.22/1.40 apply (zenon_L435_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.22/1.40 apply (zenon_L805_); trivial. % 1.22/1.40 exact (zenon_H13f zenon_H140). % 1.22/1.40 (* end of lemma zenon_L966_ *) % 1.22/1.40 assert (zenon_L967_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1ae zenon_H117 zenon_Hca zenon_H111 zenon_H12a zenon_H19d zenon_H59 zenon_H18d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H147 zenon_H158 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.40 apply (zenon_L738_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.40 apply (zenon_L737_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.41 apply (zenon_L346_); trivial. % 1.22/1.41 apply (zenon_L966_); trivial. % 1.22/1.41 apply (zenon_L778_); trivial. % 1.22/1.41 apply (zenon_L685_); trivial. % 1.22/1.41 apply (zenon_L640_); trivial. % 1.22/1.41 (* end of lemma zenon_L967_ *) % 1.22/1.41 assert (zenon_L968_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H59 zenon_H19d zenon_H12a zenon_H111 zenon_Hca zenon_H117 zenon_H1ae zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L967_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L964_); trivial. % 1.22/1.41 apply (zenon_L930_); trivial. % 1.22/1.41 (* end of lemma zenon_L968_ *) % 1.22/1.41 assert (zenon_L969_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H10d zenon_H12a zenon_H18d zenon_H59 zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.22/1.41 apply (zenon_L942_); trivial. % 1.22/1.41 apply (zenon_L129_); trivial. % 1.22/1.41 (* end of lemma zenon_L969_ *) % 1.22/1.41 assert (zenon_L970_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4e zenon_H165 zenon_H12a zenon_H1cb zenon_H19d zenon_H13f zenon_H2b0 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H21c zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L690_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L31_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_L242_); trivial. % 1.22/1.41 apply (zenon_L943_); trivial. % 1.22/1.41 (* end of lemma zenon_L970_ *) % 1.22/1.41 assert (zenon_L971_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H175 zenon_H95 zenon_Hb3 zenon_H247 zenon_H16f zenon_H7e zenon_H96 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H111 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H10e zenon_H141 zenon_H1cb zenon_H1a1 zenon_H13f zenon_H2b0 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H23a zenon_H237 zenon_H201 zenon_H1ae zenon_H147 zenon_H2a1 zenon_H158 zenon_H4b zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1db zenon_H13e zenon_H2ab zenon_Haf zenon_H97 zenon_H105 zenon_H98. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_L962_); trivial. % 1.22/1.41 apply (zenon_L778_); trivial. % 1.22/1.41 apply (zenon_L637_); trivial. % 1.22/1.41 apply (zenon_L745_); trivial. % 1.22/1.41 apply (zenon_L965_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L656_); trivial. % 1.22/1.41 apply (zenon_L663_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_L968_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L675_); trivial. % 1.22/1.41 apply (zenon_L706_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.41 apply (zenon_L961_); trivial. % 1.22/1.41 apply (zenon_L809_); trivial. % 1.22/1.41 apply (zenon_L155_); trivial. % 1.22/1.41 apply (zenon_L86_); trivial. % 1.22/1.41 apply (zenon_L965_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L31_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.41 apply (zenon_L961_); trivial. % 1.22/1.41 apply (zenon_L784_); trivial. % 1.22/1.41 apply (zenon_L969_); trivial. % 1.22/1.41 apply (zenon_L637_); trivial. % 1.22/1.41 apply (zenon_L943_); trivial. % 1.22/1.41 apply (zenon_L950_); trivial. % 1.22/1.41 apply (zenon_L970_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_L968_); trivial. % 1.22/1.41 apply (zenon_L115_); trivial. % 1.22/1.41 apply (zenon_L816_); trivial. % 1.22/1.41 apply (zenon_L706_); trivial. % 1.22/1.41 (* end of lemma zenon_L971_ *) % 1.22/1.41 assert (zenon_L972_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hca zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L40_); trivial. % 1.22/1.41 apply (zenon_L963_); trivial. % 1.22/1.41 (* end of lemma zenon_L972_ *) % 1.22/1.41 assert (zenon_L973_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13e zenon_H1cd zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H59 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L52_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L972_); trivial. % 1.22/1.41 apply (zenon_L914_); trivial. % 1.22/1.41 (* end of lemma zenon_L973_ *) % 1.22/1.41 assert (zenon_L974_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_L973_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 (* end of lemma zenon_L974_ *) % 1.22/1.41 assert (zenon_L975_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L972_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L40_); trivial. % 1.22/1.41 apply (zenon_L944_); trivial. % 1.22/1.41 (* end of lemma zenon_L975_ *) % 1.22/1.41 assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H4a zenon_H165 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H247 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hc zenon_Hd zenon_He zenon_H73 zenon_H74 zenon_H75 zenon_H16f zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H13a zenon_H147 zenon_Hef zenon_Hb1 zenon_H158 zenon_H4b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L737_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.41 apply (zenon_L282_); trivial. % 1.22/1.41 apply (zenon_L966_); trivial. % 1.22/1.41 apply (zenon_L155_); trivial. % 1.22/1.41 apply (zenon_L685_); trivial. % 1.22/1.41 apply (zenon_L745_); trivial. % 1.22/1.41 (* end of lemma zenon_L976_ *) % 1.22/1.41 assert (zenon_L977_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H4b zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L690_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L929_); trivial. % 1.22/1.41 apply (zenon_L944_); trivial. % 1.22/1.41 (* end of lemma zenon_L977_ *) % 1.22/1.41 assert (zenon_L978_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H5b zenon_H1db zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L972_); trivial. % 1.22/1.41 apply (zenon_L934_); trivial. % 1.22/1.41 (* end of lemma zenon_L978_ *) % 1.22/1.41 assert (zenon_L979_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13e zenon_H1b9 zenon_H21c zenon_H1ca zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_H201 zenon_H10e zenon_H141 zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H1cb zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_Hb1 zenon_Hef zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H59 zenon_H19d zenon_H12a zenon_H111 zenon_Hca zenon_H117 zenon_H1ae zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L967_); trivial. % 1.22/1.41 apply (zenon_L978_); trivial. % 1.22/1.41 (* end of lemma zenon_L979_ *) % 1.22/1.41 assert (zenon_L980_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H98 zenon_H2ab zenon_H105 zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H96 zenon_H201 zenon_H247 zenon_H16f zenon_H141 zenon_H1e8 zenon_H1ed zenon_H126 zenon_H62 zenon_H27 zenon_H95. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_L974_); trivial. % 1.22/1.41 apply (zenon_L663_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_L973_); trivial. % 1.22/1.41 apply (zenon_L675_); trivial. % 1.22/1.41 apply (zenon_L680_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_L974_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L40_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L658_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.22/1.41 apply (zenon_L955_); trivial. % 1.22/1.41 apply (zenon_L51_); trivial. % 1.22/1.41 apply (zenon_L155_); trivial. % 1.22/1.41 apply (zenon_L86_); trivial. % 1.22/1.41 apply (zenon_L975_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_L973_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L52_); trivial. % 1.22/1.41 apply (zenon_L959_); trivial. % 1.22/1.41 apply (zenon_L115_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L40_); trivial. % 1.22/1.41 apply (zenon_L976_); trivial. % 1.22/1.41 apply (zenon_L977_); trivial. % 1.22/1.41 apply (zenon_L115_); trivial. % 1.22/1.41 apply (zenon_L918_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L738_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L80_); trivial. % 1.22/1.41 apply (zenon_L962_); trivial. % 1.22/1.41 apply (zenon_L155_); trivial. % 1.22/1.41 apply (zenon_L637_); trivial. % 1.22/1.41 apply (zenon_L745_); trivial. % 1.22/1.41 apply (zenon_L978_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L656_); trivial. % 1.22/1.41 apply (zenon_L663_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_L979_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L675_); trivial. % 1.22/1.41 apply (zenon_L706_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L948_); trivial. % 1.22/1.41 apply (zenon_L978_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L949_); trivial. % 1.22/1.41 apply (zenon_L975_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_L979_); trivial. % 1.22/1.41 apply (zenon_L115_); trivial. % 1.22/1.41 apply (zenon_L816_); trivial. % 1.22/1.41 apply (zenon_L706_); trivial. % 1.22/1.41 (* end of lemma zenon_L980_ *) % 1.22/1.41 assert (zenon_L981_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H21c zenon_H1ae zenon_H243 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L240_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.22/1.41 apply (zenon_L228_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_L617_); trivial. % 1.22/1.41 apply (zenon_L841_); trivial. % 1.22/1.41 apply (zenon_L831_); trivial. % 1.22/1.41 (* end of lemma zenon_L981_ *) % 1.22/1.41 assert (zenon_L982_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L833_); trivial. % 1.22/1.41 apply (zenon_L981_); trivial. % 1.22/1.41 apply (zenon_L656_); trivial. % 1.22/1.41 (* end of lemma zenon_L982_ *) % 1.22/1.41 assert (zenon_L983_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_Hb3 zenon_Haf zenon_H13e zenon_H2b8 zenon_H217 zenon_H4e zenon_H165 zenon_H267 zenon_H154 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H23a zenon_H3 zenon_H21c zenon_H237 zenon_H1b9 zenon_H1cb zenon_H1db zenon_H1cd zenon_H5e zenon_H62 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H19f zenon_H1a1 zenon_H16f zenon_H2ab zenon_H96. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 apply (zenon_L982_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L857_); trivial. % 1.22/1.41 apply (zenon_L824_); trivial. % 1.22/1.41 apply (zenon_L935_); trivial. % 1.22/1.41 apply (zenon_L25_); trivial. % 1.22/1.41 apply (zenon_L767_); trivial. % 1.22/1.41 apply (zenon_L695_); trivial. % 1.22/1.41 (* end of lemma zenon_L983_ *) % 1.22/1.41 assert (zenon_L984_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H178 zenon_H96 zenon_H2ab zenon_H16f zenon_H1a1 zenon_H19f zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H62 zenon_H5e zenon_H1cd zenon_H1db zenon_H1cb zenon_H1b9 zenon_H237 zenon_H21c zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H27 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_Hb1 zenon_Hef zenon_H147 zenon_H33 zenon_H37 zenon_H13a zenon_H243 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H257 zenon_H154 zenon_H267 zenon_H165 zenon_H4e zenon_H217 zenon_H2b8 zenon_H13e zenon_Haf zenon_Hb3 zenon_H97 zenon_H8d zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.41 apply (zenon_L227_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L983_); trivial. % 1.22/1.41 apply (zenon_L37_); trivial. % 1.22/1.41 (* end of lemma zenon_L984_ *) % 1.22/1.41 assert (zenon_L985_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.41 apply (zenon_L240_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.41 apply (zenon_L912_); trivial. % 1.22/1.41 apply (zenon_L831_); trivial. % 1.22/1.41 (* end of lemma zenon_L985_ *) % 1.22/1.41 assert (zenon_L986_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H23a zenon_H3 zenon_H1a1 zenon_H237 zenon_H16f zenon_H2ab zenon_Haf zenon_H96. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_L937_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L833_); trivial. % 1.22/1.41 apply (zenon_L985_); trivial. % 1.22/1.41 apply (zenon_L656_); trivial. % 1.22/1.41 apply (zenon_L940_); trivial. % 1.22/1.41 (* end of lemma zenon_L986_ *) % 1.22/1.41 assert (zenon_L987_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13e zenon_H165 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H147 zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_H19d zenon_H59 zenon_H18d zenon_H243 zenon_H15 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_H1cd. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.41 apply (zenon_L842_); trivial. % 1.22/1.41 apply (zenon_L985_); trivial. % 1.22/1.41 (* end of lemma zenon_L987_ *) % 1.22/1.41 assert (zenon_L988_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H147 zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H165 zenon_H13e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.41 apply (zenon_L987_); trivial. % 1.22/1.41 apply (zenon_L45_); trivial. % 1.22/1.41 (* end of lemma zenon_L988_ *) % 1.22/1.41 assert (zenon_L989_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.41 apply (zenon_L937_); trivial. % 1.22/1.41 apply (zenon_L988_); trivial. % 1.22/1.41 (* end of lemma zenon_L989_ *) % 1.22/1.41 assert (zenon_L990_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp29)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H16f zenon_H35 zenon_Hd9 zenon_H276 zenon_H274 zenon_H275 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H1ae zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd7 zenon_H270 zenon_Hed. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.22/1.41 apply (zenon_L435_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.41 apply (zenon_L365_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.41 apply (zenon_L349_); trivial. % 1.22/1.41 apply (zenon_L191_); trivial. % 1.22/1.41 exact (zenon_Hed zenon_Hee). % 1.22/1.41 (* end of lemma zenon_L990_ *) % 1.22/1.41 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H109 zenon_H270 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a zenon_H2b zenon_H2c zenon_H1a1 zenon_H29a zenon_H298 zenon_H299 zenon_H7c zenon_H1cb zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.22/1.41 apply (zenon_L769_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.22/1.41 apply (zenon_L13_); trivial. % 1.22/1.41 apply (zenon_L144_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.41 apply (zenon_L349_); trivial. % 1.22/1.41 apply (zenon_L191_); trivial. % 1.22/1.41 (* end of lemma zenon_L991_ *) % 1.22/1.41 assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H2a zenon_H2b zenon_H2c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.41 apply (zenon_L990_); trivial. % 1.22/1.41 apply (zenon_L991_); trivial. % 1.22/1.41 (* end of lemma zenon_L992_ *) % 1.22/1.41 assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1a1 zenon_H7c zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H25 zenon_H27 zenon_H10e zenon_H201 zenon_H13a zenon_H4b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.41 apply (zenon_L192_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.41 apply (zenon_L990_); trivial. % 1.22/1.41 apply (zenon_L709_); trivial. % 1.22/1.41 apply (zenon_L408_); trivial. % 1.22/1.41 apply (zenon_L409_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L141_); trivial. % 1.22/1.41 apply (zenon_L992_); trivial. % 1.22/1.41 apply (zenon_L408_); trivial. % 1.22/1.41 apply (zenon_L409_); trivial. % 1.22/1.41 (* end of lemma zenon_L993_ *) % 1.22/1.41 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H4a zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.41 apply (zenon_L658_); trivial. % 1.22/1.41 apply (zenon_L992_); trivial. % 1.22/1.41 apply (zenon_L155_); trivial. % 1.22/1.41 apply (zenon_L869_); trivial. % 1.22/1.41 (* end of lemma zenon_L994_ *) % 1.22/1.41 assert (zenon_L995_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.41 apply (zenon_L31_); trivial. % 1.22/1.41 apply (zenon_L994_); trivial. % 1.22/1.41 (* end of lemma zenon_L995_ *) % 1.22/1.41 assert (zenon_L996_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H158 zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H7e zenon_H7c zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1a1 zenon_H10e zenon_H201 zenon_H4b zenon_H4e zenon_H1cd. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L690_); trivial. % 1.22/1.42 apply (zenon_L995_); trivial. % 1.22/1.42 apply (zenon_L871_); trivial. % 1.22/1.42 (* end of lemma zenon_L996_ *) % 1.22/1.42 assert (zenon_L997_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H109 zenon_H270 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.42 apply (zenon_L716_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.42 apply (zenon_L349_); trivial. % 1.22/1.42 apply (zenon_L191_); trivial. % 1.22/1.42 (* end of lemma zenon_L997_ *) % 1.22/1.42 assert (zenon_L998_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H13b zenon_H201 zenon_H10e zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.22/1.42 apply (zenon_L192_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.22/1.42 apply (zenon_L990_); trivial. % 1.22/1.42 apply (zenon_L997_); trivial. % 1.22/1.42 (* end of lemma zenon_L998_ *) % 1.22/1.42 assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H13a zenon_H201 zenon_H10e zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19d zenon_Hca zenon_H111. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_L484_); trivial. % 1.22/1.42 apply (zenon_L998_); trivial. % 1.22/1.42 apply (zenon_L155_); trivial. % 1.22/1.42 apply (zenon_L409_); trivial. % 1.22/1.42 (* end of lemma zenon_L999_ *) % 1.22/1.42 assert (zenon_L1000_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H27 zenon_H2ab zenon_H255 zenon_Hb1 zenon_Hb3 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H4e zenon_H13a zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H270 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H10e zenon_H201 zenon_H4b zenon_H1cd. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L690_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_L658_); trivial. % 1.22/1.42 apply (zenon_L998_); trivial. % 1.22/1.42 apply (zenon_L155_); trivial. % 1.22/1.42 apply (zenon_L409_); trivial. % 1.22/1.42 apply (zenon_L886_); trivial. % 1.22/1.42 (* end of lemma zenon_L1000_ *) % 1.22/1.42 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H33 zenon_H37. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_L16_); trivial. % 1.22/1.42 apply (zenon_L869_); trivial. % 1.22/1.42 (* end of lemma zenon_L1001_ *) % 1.22/1.42 assert (zenon_L1002_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.42 apply (zenon_L40_); trivial. % 1.22/1.42 apply (zenon_L1001_); trivial. % 1.22/1.42 (* end of lemma zenon_L1002_ *) % 1.22/1.42 assert (zenon_L1003_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp10)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H234 zenon_H270 zenon_H7c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.42 apply (zenon_L646_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.42 apply (zenon_L349_); trivial. % 1.22/1.42 apply (zenon_L191_); trivial. % 1.22/1.42 (* end of lemma zenon_L1003_ *) % 1.22/1.42 assert (zenon_L1004_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H13b zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.22/1.42 apply (zenon_L261_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 (* end of lemma zenon_L1004_ *) % 1.22/1.42 assert (zenon_L1005_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H237. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.22/1.42 apply (zenon_L644_); trivial. % 1.22/1.42 apply (zenon_L1003_); trivial. % 1.22/1.42 apply (zenon_L1004_); trivial. % 1.22/1.42 (* end of lemma zenon_L1005_ *) % 1.22/1.42 assert (zenon_L1006_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.42 apply (zenon_L40_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_L16_); trivial. % 1.22/1.42 apply (zenon_L876_); trivial. % 1.22/1.42 (* end of lemma zenon_L1006_ *) % 1.22/1.42 assert (zenon_L1007_ : ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c3_1 (a2403))) -> (ndr1_0) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H29a zenon_H298 zenon_H19 zenon_H299 zenon_Ha zenon_H22b zenon_H22c zenon_H22d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H83 | zenon_intro zenon_H106 ]. % 1.22/1.42 apply (zenon_L33_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hf9 ]. % 1.22/1.42 apply (zenon_L645_); trivial. % 1.22/1.42 apply (zenon_L254_); trivial. % 1.22/1.42 (* end of lemma zenon_L1007_ *) % 1.22/1.42 assert (zenon_L1008_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H234 zenon_H270 zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.22/1.42 apply (zenon_L1007_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.22/1.42 apply (zenon_L349_); trivial. % 1.22/1.42 apply (zenon_L191_); trivial. % 1.22/1.42 (* end of lemma zenon_L1008_ *) % 1.22/1.42 assert (zenon_L1009_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H13b zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.22/1.42 apply (zenon_L261_); trivial. % 1.22/1.42 apply (zenon_L1008_); trivial. % 1.22/1.42 (* end of lemma zenon_L1009_ *) % 1.22/1.42 assert (zenon_L1010_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H6d zenon_H13a zenon_H23a zenon_H3 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H237. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.22/1.42 apply (zenon_L644_); trivial. % 1.22/1.42 apply (zenon_L1008_); trivial. % 1.22/1.42 apply (zenon_L1009_); trivial. % 1.22/1.42 (* end of lemma zenon_L1010_ *) % 1.22/1.42 assert (zenon_L1011_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H105 zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H1a1 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H237 zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_H97. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L1002_); trivial. % 1.22/1.42 apply (zenon_L1005_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L1006_); trivial. % 1.22/1.42 apply (zenon_L1010_); trivial. % 1.22/1.42 (* end of lemma zenon_L1011_ *) % 1.22/1.42 assert (zenon_L1012_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L1002_); trivial. % 1.22/1.42 apply (zenon_L45_); trivial. % 1.22/1.42 (* end of lemma zenon_L1012_ *) % 1.22/1.42 assert (zenon_L1013_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H97 zenon_H62 zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H19f zenon_H189 zenon_H27 zenon_H201 zenon_H10e zenon_H2ab zenon_H2a1 zenon_H255 zenon_H16f zenon_H1cb zenon_H8d zenon_Hb1 zenon_Hb3 zenon_H12a zenon_H1ed zenon_H117 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H19d zenon_Hca zenon_H158 zenon_H1cd zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L1006_); trivial. % 1.22/1.42 apply (zenon_L878_); trivial. % 1.22/1.42 (* end of lemma zenon_L1013_ *) % 1.22/1.42 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H287 zenon_H286 zenon_H37 zenon_Ha3 zenon_H237 zenon_H23a zenon_H95 zenon_H98 zenon_H165 zenon_H1db zenon_H147 zenon_Hef zenon_H105 zenon_H2ab zenon_Hb7 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H4b zenon_H201 zenon_H10e zenon_H27 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H1ae zenon_H16f zenon_H1ed zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H7e zenon_H19f zenon_H96 zenon_H7 zenon_H178. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L4_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L362_); trivial. % 1.22/1.42 apply (zenon_L993_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_L492_); trivial. % 1.22/1.42 apply (zenon_L869_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L45_); trivial. % 1.22/1.42 apply (zenon_L996_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L362_); trivial. % 1.22/1.42 apply (zenon_L999_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_L492_); trivial. % 1.22/1.42 apply (zenon_L685_); trivial. % 1.22/1.42 apply (zenon_L371_); trivial. % 1.22/1.42 apply (zenon_L878_); trivial. % 1.22/1.42 apply (zenon_L1000_); trivial. % 1.22/1.42 apply (zenon_L411_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L1011_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_L1012_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_L1013_); trivial. % 1.22/1.42 apply (zenon_L1000_); trivial. % 1.22/1.42 apply (zenon_L411_); trivial. % 1.22/1.42 (* end of lemma zenon_L1014_ *) % 1.22/1.42 assert (zenon_L1015_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H18d zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1a zenon_H1b zenon_H1c zenon_H13e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L891_); trivial. % 1.22/1.42 apply (zenon_L981_); trivial. % 1.22/1.42 apply (zenon_L656_); trivial. % 1.22/1.42 (* end of lemma zenon_L1015_ *) % 1.22/1.42 assert (zenon_L1016_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H178 zenon_H96 zenon_H2ab zenon_H16f zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_Haf zenon_Hb3 zenon_H97 zenon_H105 zenon_H98 zenon_H7 zenon_H5 zenon_H15 zenon_H17 zenon_H95. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.42 apply (zenon_L227_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L888_); trivial. % 1.22/1.42 apply (zenon_L935_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L45_); trivial. % 1.22/1.42 apply (zenon_L1015_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L738_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.22/1.42 apply (zenon_L817_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_L737_); trivial. % 1.22/1.42 apply (zenon_L694_); trivial. % 1.22/1.42 apply (zenon_L935_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L767_); trivial. % 1.22/1.42 apply (zenon_L695_); trivial. % 1.22/1.42 apply (zenon_L37_); trivial. % 1.22/1.42 (* end of lemma zenon_L1016_ *) % 1.22/1.42 assert (zenon_L1017_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H98 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H19f zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H243 zenon_H23a zenon_H3 zenon_H1a1 zenon_H237 zenon_H16f zenon_H2ab zenon_Haf zenon_H96. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_L937_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L891_); trivial. % 1.22/1.42 apply (zenon_L985_); trivial. % 1.22/1.42 apply (zenon_L656_); trivial. % 1.22/1.42 apply (zenon_L940_); trivial. % 1.22/1.42 (* end of lemma zenon_L1017_ *) % 1.22/1.42 assert (zenon_L1018_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H27 zenon_H2ab zenon_Hb3 zenon_H255 zenon_H154 zenon_H4e zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H21c zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1a zenon_H1b zenon_H1c zenon_H1b9 zenon_H165 zenon_H13e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L842_); trivial. % 1.22/1.42 apply (zenon_L981_); trivial. % 1.22/1.42 apply (zenon_L863_); trivial. % 1.22/1.42 (* end of lemma zenon_L1018_ *) % 1.22/1.42 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H175 zenon_H95 zenon_Hb3 zenon_H154 zenon_H96 zenon_Haf zenon_H2ab zenon_H16f zenon_H1a1 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H23a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H13e zenon_H6e zenon_H97 zenon_H105 zenon_H98. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L738_); trivial. % 1.22/1.42 apply (zenon_L858_); trivial. % 1.22/1.42 apply (zenon_L935_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L28_); trivial. % 1.22/1.42 apply (zenon_L1015_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L893_); trivial. % 1.22/1.42 apply (zenon_L938_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L767_); trivial. % 1.22/1.42 apply (zenon_L695_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L895_); trivial. % 1.22/1.42 apply (zenon_L935_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L45_); trivial. % 1.22/1.42 apply (zenon_L1018_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_L895_); trivial. % 1.22/1.42 apply (zenon_L938_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L28_); trivial. % 1.22/1.42 apply (zenon_L1018_); trivial. % 1.22/1.42 (* end of lemma zenon_L1019_ *) % 1.22/1.42 assert (zenon_L1020_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_L658_); trivial. % 1.22/1.42 apply (zenon_L1004_); trivial. % 1.22/1.42 (* end of lemma zenon_L1020_ *) % 1.22/1.42 assert (zenon_L1021_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H80 zenon_H13a zenon_H237 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.22/1.42 apply (zenon_L658_); trivial. % 1.22/1.42 apply (zenon_L1009_); trivial. % 1.22/1.42 (* end of lemma zenon_L1021_ *) % 1.22/1.42 assert (zenon_L1022_ : ((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410)))))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H287 zenon_H286 zenon_Hc6 zenon_Ha3 zenon_H23a zenon_H237 zenon_H95 zenon_H98 zenon_H105 zenon_H1ca zenon_H21c zenon_H1b9 zenon_H165 zenon_H2ab zenon_Hb7 zenon_H97 zenon_Hb3 zenon_Hb1 zenon_Haf zenon_H13e zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H201 zenon_H10e zenon_H27 zenon_H2a1 zenon_H1a1 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H270 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H1ed zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H18d zenon_H111 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H7e zenon_H158 zenon_H154 zenon_H255 zenon_H96 zenon_H7 zenon_H178. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L4_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L738_); trivial. % 1.22/1.42 apply (zenon_L993_); trivial. % 1.22/1.42 apply (zenon_L509_); trivial. % 1.22/1.42 apply (zenon_L25_); trivial. % 1.22/1.42 apply (zenon_L45_); trivial. % 1.22/1.42 apply (zenon_L996_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L738_); trivial. % 1.22/1.42 apply (zenon_L999_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L508_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.42 apply (zenon_L929_); trivial. % 1.22/1.42 apply (zenon_L619_); trivial. % 1.22/1.42 apply (zenon_L410_); trivial. % 1.22/1.42 apply (zenon_L878_); trivial. % 1.22/1.42 apply (zenon_L1000_); trivial. % 1.22/1.42 apply (zenon_L411_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_L624_); trivial. % 1.22/1.42 apply (zenon_L1020_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L623_); trivial. % 1.22/1.42 apply (zenon_L675_); trivial. % 1.22/1.42 apply (zenon_L1021_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_L624_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.42 apply (zenon_L627_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.42 apply (zenon_L40_); trivial. % 1.22/1.42 apply (zenon_L994_); trivial. % 1.22/1.42 apply (zenon_L622_); trivial. % 1.22/1.42 apply (zenon_L871_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L623_); trivial. % 1.22/1.42 apply (zenon_L878_); trivial. % 1.22/1.42 apply (zenon_L1000_); trivial. % 1.22/1.42 apply (zenon_L411_); trivial. % 1.22/1.42 (* end of lemma zenon_L1022_ *) % 1.22/1.42 assert (zenon_L1023_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H162 zenon_H4b zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hb1 zenon_Hef zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H105 zenon_H10e zenon_Hca zenon_H158 zenon_H111. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.42 apply (zenon_L515_); trivial. % 1.22/1.42 apply (zenon_L721_); trivial. % 1.22/1.42 apply (zenon_L667_); trivial. % 1.22/1.42 (* end of lemma zenon_L1023_ *) % 1.22/1.42 assert (zenon_L1024_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_Hca zenon_H111 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hef zenon_Hb1 zenon_H64 zenon_H65 zenon_H66 zenon_Hb3 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H147 zenon_H158 zenon_H4b. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.22/1.42 apply (zenon_L515_); trivial. % 1.22/1.42 apply (zenon_L731_); trivial. % 1.22/1.42 apply (zenon_L685_); trivial. % 1.22/1.42 apply (zenon_L1023_); trivial. % 1.22/1.42 (* end of lemma zenon_L1024_ *) % 1.22/1.42 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H4b zenon_H158 zenon_H147 zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_Hb3 zenon_Hb1 zenon_Hef zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H25 zenon_H27 zenon_H10e zenon_H111 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H1 zenon_Hb7 zenon_H5b zenon_H1db zenon_H165 zenon_H189 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.43 apply (zenon_L729_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.43 apply (zenon_L1024_); trivial. % 1.22/1.43 apply (zenon_L87_); trivial. % 1.22/1.43 (* end of lemma zenon_L1025_ *) % 1.22/1.43 assert (zenon_L1026_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H204 zenon_H178 zenon_H7e zenon_H5e zenon_H98 zenon_H2ab zenon_H105 zenon_H97 zenon_Hb3 zenon_Haf zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H19f zenon_H23a zenon_H1a1 zenon_H13f zenon_H2b0 zenon_H237 zenon_H13a zenon_H96 zenon_H141 zenon_H62 zenon_Hc6 zenon_Hb7 zenon_H154 zenon_H27 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H16f zenon_H95. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.43 apply (zenon_L911_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.43 apply (zenon_L836_); trivial. % 1.22/1.43 apply (zenon_L675_); trivial. % 1.22/1.43 apply (zenon_L680_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.22/1.43 apply (zenon_L89_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.43 apply (zenon_L836_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.43 apply (zenon_L52_); trivial. % 1.22/1.43 apply (zenon_L1025_); trivial. % 1.22/1.43 apply (zenon_L115_); trivial. % 1.22/1.43 apply (zenon_L919_); trivial. % 1.22/1.43 apply (zenon_L707_); trivial. % 1.22/1.43 (* end of lemma zenon_L1026_ *) % 1.22/1.43 assert (zenon_L1027_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H1b9 zenon_H145 zenon_H59 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_Hd9 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H1ae zenon_H4b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.22/1.43 apply (zenon_L518_); trivial. % 1.22/1.43 apply (zenon_L688_); trivial. % 1.22/1.43 (* end of lemma zenon_L1027_ *) % 1.22/1.43 assert (zenon_L1028_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H1db zenon_H5b zenon_Hb7 zenon_H1 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L1027_); trivial. % 1.22/1.43 apply (zenon_L1023_); trivial. % 1.22/1.43 (* end of lemma zenon_L1028_ *) % 1.22/1.43 assert (zenon_L1029_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H4a zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.22/1.43 apply (zenon_L1027_); trivial. % 1.22/1.43 apply (zenon_L640_); trivial. % 1.22/1.43 (* end of lemma zenon_L1029_ *) % 1.22/1.43 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.43 apply (zenon_L12_); trivial. % 1.22/1.43 apply (zenon_L1029_); trivial. % 1.22/1.43 (* end of lemma zenon_L1030_ *) % 1.22/1.43 assert (zenon_L1031_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.43 apply (zenon_L240_); trivial. % 1.22/1.43 apply (zenon_L1030_); trivial. % 1.22/1.43 (* end of lemma zenon_L1031_ *) % 1.22/1.43 assert (zenon_L1032_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.22/1.43 apply (zenon_L40_); trivial. % 1.22/1.43 apply (zenon_L1029_); trivial. % 1.22/1.43 (* end of lemma zenon_L1032_ *) % 1.22/1.43 assert (zenon_L1033_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.43 apply (zenon_L52_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.22/1.43 apply (zenon_L240_); trivial. % 1.22/1.43 apply (zenon_L1032_); trivial. % 1.22/1.43 apply (zenon_L28_); trivial. % 1.22/1.43 (* end of lemma zenon_L1033_ *) % 1.22/1.43 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H105 zenon_H3 zenon_H23a zenon_H243 zenon_H19f zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.43 apply (zenon_L1033_); trivial. % 1.22/1.43 apply (zenon_L695_); trivial. % 1.22/1.43 (* end of lemma zenon_L1034_ *) % 1.22/1.43 assert (zenon_L1035_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H243 zenon_H19f zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.43 apply (zenon_L1033_); trivial. % 1.22/1.43 apply (zenon_L756_); trivial. % 1.22/1.43 (* end of lemma zenon_L1035_ *) % 1.22/1.43 assert (zenon_L1036_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1b9 zenon_H1ca zenon_H217 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H18d zenon_H147 zenon_H1ae zenon_H243 zenon_H15 zenon_H12a zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H19d zenon_H1cb zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.22/1.43 apply (zenon_L760_); trivial. % 1.22/1.43 apply (zenon_L1031_); trivial. % 1.22/1.43 apply (zenon_L25_); trivial. % 1.22/1.43 apply (zenon_L28_); trivial. % 1.22/1.43 (* end of lemma zenon_L1036_ *) % 1.22/1.43 assert (zenon_L1037_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H8f zenon_H96 zenon_H237 zenon_H105 zenon_H3 zenon_H23a zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H6e zenon_H97. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.22/1.43 apply (zenon_L1036_); trivial. % 1.22/1.43 apply (zenon_L695_); trivial. % 1.22/1.43 (* end of lemma zenon_L1037_ *) % 1.22/1.43 assert (zenon_L1038_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H96 zenon_Hb3 zenon_H7c zenon_Haf zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_Ha3 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H19d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_H18d zenon_H111 zenon_H4b zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e zenon_H6e zenon_H97. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.43 apply (zenon_L1036_); trivial. % 1.32/1.43 apply (zenon_L756_); trivial. % 1.32/1.43 (* end of lemma zenon_L1038_ *) % 1.32/1.43 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H4a zenon_H165 zenon_H1cb zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.43 apply (zenon_L1027_); trivial. % 1.32/1.43 apply (zenon_L943_); trivial. % 1.32/1.43 (* end of lemma zenon_L1039_ *) % 1.32/1.43 assert (zenon_L1040_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H1cb zenon_H13f zenon_H2b0 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L690_); trivial. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.43 apply (zenon_L31_); trivial. % 1.32/1.43 apply (zenon_L1039_); trivial. % 1.32/1.43 (* end of lemma zenon_L1040_ *) % 1.32/1.43 assert (zenon_L1041_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_Haf zenon_H1cd zenon_H4e zenon_H165 zenon_Hca zenon_H19d zenon_H247 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H117 zenon_H2b0 zenon_H13f zenon_H1a1 zenon_H1cb zenon_H141 zenon_H12a zenon_H10e zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H18d zenon_H2a1 zenon_H158 zenon_H111 zenon_H4b zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H13e. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L738_); trivial. % 1.32/1.43 apply (zenon_L785_); trivial. % 1.32/1.43 apply (zenon_L1040_); trivial. % 1.32/1.43 apply (zenon_L45_); trivial. % 1.32/1.43 (* end of lemma zenon_L1041_ *) % 1.32/1.43 assert (zenon_L1042_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H1db zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H1b9 zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H5e zenon_H5b zenon_H59 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L802_); trivial. % 1.32/1.43 apply (zenon_L1030_); trivial. % 1.32/1.43 (* end of lemma zenon_L1042_ *) % 1.32/1.43 assert (zenon_L1043_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H13e zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_H5e zenon_Hd9 zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H158 zenon_H147 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H1ae zenon_H1db zenon_H5b zenon_H59 zenon_H18d zenon_H111 zenon_H165 zenon_H4e zenon_H1cd. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_L807_); trivial. % 1.32/1.43 apply (zenon_L1042_); trivial. % 1.32/1.43 (* end of lemma zenon_L1043_ *) % 1.32/1.43 assert (zenon_L1044_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_H7c zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4e zenon_H165 zenon_H1cb zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_Hd9 zenon_H5e zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha3 zenon_H1ca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1ae zenon_H1db zenon_H1cd zenon_H13e. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_L52_); trivial. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.43 apply (zenon_L40_); trivial. % 1.32/1.43 apply (zenon_L801_); trivial. % 1.32/1.43 apply (zenon_L1032_); trivial. % 1.32/1.43 apply (zenon_L45_); trivial. % 1.32/1.43 (* end of lemma zenon_L1044_ *) % 1.32/1.43 assert (zenon_L1045_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_Hca zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1db zenon_H5b zenon_H105 zenon_H165. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L792_); trivial. % 1.32/1.43 apply (zenon_L1032_); trivial. % 1.32/1.43 (* end of lemma zenon_L1045_ *) % 1.32/1.43 assert (zenon_L1046_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H13e zenon_H1cd zenon_H4e zenon_H1cb zenon_H1ae zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1db zenon_H105 zenon_H165 zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_L52_); trivial. % 1.32/1.43 apply (zenon_L1045_); trivial. % 1.32/1.43 (* end of lemma zenon_L1046_ *) % 1.32/1.43 assert (zenon_L1047_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H13e zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_Hd9 zenon_H1db zenon_H5b zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H111 zenon_H158 zenon_H18d zenon_H59 zenon_H147 zenon_H1ae zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Hef zenon_Hb1 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H105 zenon_H2a1 zenon_H13f zenon_H2b0 zenon_H141 zenon_H10e zenon_H201 zenon_H19d zenon_H165 zenon_H4e zenon_H1cd. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L738_); trivial. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.43 apply (zenon_L12_); trivial. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.43 apply (zenon_L80_); trivial. % 1.32/1.43 apply (zenon_L806_); trivial. % 1.32/1.43 apply (zenon_L637_); trivial. % 1.32/1.43 apply (zenon_L745_); trivial. % 1.32/1.43 apply (zenon_L1045_); trivial. % 1.32/1.43 (* end of lemma zenon_L1047_ *) % 1.32/1.43 assert (zenon_L1048_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H243 zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.43 apply (zenon_L240_); trivial. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.43 apply (zenon_L1027_); trivial. % 1.32/1.43 apply (zenon_L831_); trivial. % 1.32/1.43 (* end of lemma zenon_L1048_ *) % 1.32/1.43 assert (zenon_L1049_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.43 do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H1ae zenon_H4b zenon_H13e. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.43 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.43 apply (zenon_L833_); trivial. % 1.32/1.43 apply (zenon_L1048_); trivial. % 1.32/1.43 apply (zenon_L656_); trivial. % 1.32/1.43 (* end of lemma zenon_L1049_ *) % 1.32/1.43 assert (zenon_L1050_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H96 zenon_H16f zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H21c zenon_H217 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H13e zenon_H62 zenon_H5e zenon_H4e zenon_H165 zenon_H1db zenon_H37 zenon_H33 zenon_H147 zenon_Hef zenon_Hb1 zenon_H189 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H4b zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H111 zenon_H18d zenon_H1ae zenon_Hca zenon_H19d zenon_H117 zenon_H1cb zenon_H12a zenon_H1cd zenon_H1ca zenon_H2ab zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H19f zenon_H3 zenon_H23a zenon_H13a zenon_Haf zenon_H97. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.44 apply (zenon_L657_); trivial. % 1.32/1.44 apply (zenon_L1049_); trivial. % 1.32/1.44 (* end of lemma zenon_L1050_ *) % 1.32/1.44 assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H10e zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H247 zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L690_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L40_); trivial. % 1.32/1.44 apply (zenon_L883_); trivial. % 1.32/1.44 (* end of lemma zenon_L1051_ *) % 1.32/1.44 assert (zenon_L1052_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1ce zenon_H4b zenon_H10e zenon_H2a1 zenon_H105 zenon_H29a zenon_H298 zenon_H299 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H21c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_L525_); trivial. % 1.32/1.44 apply (zenon_L735_); trivial. % 1.32/1.44 (* end of lemma zenon_L1052_ *) % 1.32/1.44 assert (zenon_L1053_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H4b zenon_H10e zenon_H2a1 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_Hb1 zenon_Hef zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L690_); trivial. % 1.32/1.44 apply (zenon_L1052_); trivial. % 1.32/1.44 (* end of lemma zenon_L1053_ *) % 1.32/1.44 assert (zenon_L1054_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H6d zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H13a zenon_H189 zenon_H73 zenon_H74 zenon_H75 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H4b zenon_H243 zenon_H15 zenon_H10e zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H2a1 zenon_H105 zenon_H117 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_He zenon_Hd zenon_Hc zenon_H154 zenon_H12a zenon_H19d zenon_Hca zenon_H158 zenon_Hef zenon_H147 zenon_Hb3 zenon_Hb1 zenon_H255 zenon_H165 zenon_H4e zenon_H1cd. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.44 apply (zenon_L854_); trivial. % 1.32/1.44 apply (zenon_L1053_); trivial. % 1.32/1.44 (* end of lemma zenon_L1054_ *) % 1.32/1.44 assert (zenon_L1055_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H27 zenon_H154 zenon_H147 zenon_Hb3 zenon_H255 zenon_H165 zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_Ha3 zenon_H247 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H21c zenon_H4e zenon_H13e. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_L842_); trivial. % 1.32/1.44 apply (zenon_L1051_); trivial. % 1.32/1.44 apply (zenon_L1054_); trivial. % 1.32/1.44 (* end of lemma zenon_L1055_ *) % 1.32/1.44 assert (zenon_L1056_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H27 zenon_H154 zenon_Hb3 zenon_H255 zenon_Hc zenon_Hd zenon_He zenon_H24e zenon_H24c zenon_H24d zenon_H16f zenon_H126 zenon_H243 zenon_H19f zenon_H247 zenon_H105 zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H1db zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H1b9 zenon_H111 zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H6e zenon_H97. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.44 apply (zenon_L1033_); trivial. % 1.32/1.44 apply (zenon_L1055_); trivial. % 1.32/1.44 (* end of lemma zenon_L1056_ *) % 1.32/1.44 assert (zenon_L1057_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H4a zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H4b zenon_H1ae zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_L1027_); trivial. % 1.32/1.44 apply (zenon_L385_); trivial. % 1.32/1.44 (* end of lemma zenon_L1057_ *) % 1.32/1.44 assert (zenon_L1058_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H154 zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H2a1 zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H126 zenon_H12a zenon_H247 zenon_H158 zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H1ca zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H1b9 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H21c zenon_H4b zenon_H165 zenon_H13e. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L690_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L31_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.32/1.44 apply (zenon_L897_); trivial. % 1.32/1.44 apply (zenon_L751_); trivial. % 1.32/1.44 apply (zenon_L408_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L690_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L31_); trivial. % 1.32/1.44 apply (zenon_L1057_); trivial. % 1.32/1.44 apply (zenon_L871_); trivial. % 1.32/1.44 (* end of lemma zenon_L1058_ *) % 1.32/1.44 assert (zenon_L1059_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H5b zenon_H1db zenon_H1cb zenon_H1b9 zenon_H158 zenon_H237 zenon_H21c zenon_H2a1 zenon_H3 zenon_H23a zenon_H117 zenon_H19d zenon_Hca zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H1ae zenon_H147 zenon_Hef zenon_Hb1 zenon_H59 zenon_H18d zenon_H10e zenon_H111 zenon_H4b zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H13e. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_L888_); trivial. % 1.32/1.44 apply (zenon_L1031_); trivial. % 1.32/1.44 apply (zenon_L25_); trivial. % 1.32/1.44 (* end of lemma zenon_L1059_ *) % 1.32/1.44 assert (zenon_L1060_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H80 zenon_H97 zenon_Haf zenon_H2ab zenon_H1cd zenon_H165 zenon_H10e zenon_Hef zenon_Hb1 zenon_H1cb zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H12a zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H209 zenon_H20a zenon_H20b zenon_H126 zenon_H189 zenon_H13a zenon_H217 zenon_H147 zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H18d zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_Hd9 zenon_H1ae zenon_H4b zenon_H13e. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_L891_); trivial. % 1.32/1.44 apply (zenon_L1048_); trivial. % 1.32/1.44 apply (zenon_L656_); trivial. % 1.32/1.44 (* end of lemma zenon_L1060_ *) % 1.32/1.44 assert (zenon_L1061_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_H16f zenon_H5b zenon_H1db zenon_H4b zenon_H1ae zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_Hda zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H18d zenon_H59 zenon_H1b9 zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H147 zenon_Hef zenon_Hb1 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_L1027_); trivial. % 1.32/1.44 apply (zenon_L903_); trivial. % 1.32/1.44 (* end of lemma zenon_L1061_ *) % 1.32/1.44 assert (zenon_L1062_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp3)) -> (~(hskp28)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H238 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_H9c zenon_H9a zenon_H9b zenon_Hcd zenon_Hcc zenon_Hd7 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H35 zenon_H21c zenon_H227 zenon_H229. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.32/1.44 apply (zenon_L251_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.32/1.44 apply (zenon_L514_); trivial. % 1.32/1.44 exact (zenon_H35 zenon_H36). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.32/1.44 apply (zenon_L251_); trivial. % 1.32/1.44 apply (zenon_L139_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ]. % 1.32/1.44 exact (zenon_H227 zenon_H228). % 1.32/1.44 exact (zenon_H229 zenon_H22a). % 1.32/1.44 (* end of lemma zenon_L1062_ *) % 1.32/1.44 assert (zenon_L1063_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2411)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(hskp20)) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp3)) -> (~(hskp28)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H238 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd9 zenon_H9c zenon_H9a zenon_H9b zenon_Hcd zenon_Hcc zenon_Hd7 zenon_H1bc zenon_H1bd zenon_H1be zenon_H21c zenon_H227 zenon_H229. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H21e | zenon_intro zenon_H239 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.32/1.44 apply (zenon_L149_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.32/1.44 apply (zenon_L251_); trivial. % 1.32/1.44 apply (zenon_L139_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H228 | zenon_intro zenon_H22a ]. % 1.32/1.44 exact (zenon_H227 zenon_H228). % 1.32/1.44 exact (zenon_H229 zenon_H22a). % 1.32/1.44 (* end of lemma zenon_L1063_ *) % 1.32/1.44 assert (zenon_L1064_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H1cb zenon_H4b zenon_H1ae zenon_H237 zenon_H1b9 zenon_H299 zenon_H298 zenon_H29a zenon_H7c zenon_H1a1 zenon_H21c zenon_Hd9 zenon_Hcd zenon_Hcc zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H227 zenon_H238 zenon_H18d zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H12a zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H147 zenon_Hef zenon_Hb1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L40_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.44 apply (zenon_L1062_); trivial. % 1.32/1.44 apply (zenon_L647_); trivial. % 1.32/1.44 apply (zenon_L147_); trivial. % 1.32/1.44 apply (zenon_L148_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.44 apply (zenon_L1063_); trivial. % 1.32/1.44 apply (zenon_L1003_); trivial. % 1.32/1.44 apply (zenon_L155_); trivial. % 1.32/1.44 apply (zenon_L637_); trivial. % 1.32/1.44 apply (zenon_L385_); trivial. % 1.32/1.44 (* end of lemma zenon_L1064_ *) % 1.32/1.44 assert (zenon_L1065_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H97 zenon_Hb3 zenon_Haf zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H237 zenon_H1a1 zenon_H7c zenon_H5e zenon_Hd9 zenon_H227 zenon_H238 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_Hb1 zenon_Hef zenon_H147 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H29a zenon_H298 zenon_H299 zenon_H1b9 zenon_H1ae zenon_H1cb zenon_H165 zenon_H4e zenon_H1cd zenon_H13e. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_L52_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_L562_); trivial. % 1.32/1.44 apply (zenon_L382_); trivial. % 1.32/1.44 apply (zenon_L1064_); trivial. % 1.32/1.44 apply (zenon_L45_); trivial. % 1.32/1.44 (* end of lemma zenon_L1065_ *) % 1.32/1.44 assert (zenon_L1066_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2410)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c1_1 X8)\/(c3_1 X8)))))\/((hskp3)\/(hskp28))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H16f zenon_H1db zenon_H1ae zenon_H270 zenon_H1e8 zenon_H24e zenon_H24d zenon_H24c zenon_H21c zenon_H28a zenon_H28b zenon_H28c zenon_H1b9 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_Hca zenon_H237 zenon_H105 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_Hd9 zenon_H227 zenon_H238 zenon_H1 zenon_H5b zenon_Hb7 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H117 zenon_H18d zenon_H12a zenon_H189 zenon_H13a zenon_H111 zenon_H1cb zenon_H165 zenon_H4e. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L40_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_L522_); trivial. % 1.32/1.44 apply (zenon_L313_); trivial. % 1.32/1.44 apply (zenon_L631_); trivial. % 1.32/1.44 apply (zenon_L800_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.44 apply (zenon_L1062_); trivial. % 1.32/1.44 apply (zenon_L1008_); trivial. % 1.32/1.44 apply (zenon_L147_); trivial. % 1.32/1.44 apply (zenon_L148_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.44 apply (zenon_L48_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.32/1.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.32/1.44 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.44 apply (zenon_L1063_); trivial. % 1.32/1.44 apply (zenon_L521_); trivial. % 1.32/1.44 apply (zenon_L155_); trivial. % 1.32/1.44 apply (zenon_L389_); trivial. % 1.32/1.44 apply (zenon_L903_); trivial. % 1.32/1.44 (* end of lemma zenon_L1066_ *) % 1.32/1.44 assert (zenon_L1067_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H16f zenon_H1ae zenon_H24d zenon_H24c zenon_H24e zenon_H1cb zenon_Hb1 zenon_Hef zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H209 zenon_H20a zenon_H20b zenon_Hc3 zenon_H126 zenon_H189 zenon_H13a. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L738_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L40_); trivial. % 1.32/1.44 apply (zenon_L908_); trivial. % 1.32/1.44 (* end of lemma zenon_L1067_ *) % 1.32/1.44 assert (zenon_L1068_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H80 zenon_H97 zenon_Hb3 zenon_H13e zenon_H4e zenon_H165 zenon_H1cb zenon_H1ae zenon_H1b9 zenon_H21c zenon_H147 zenon_Hef zenon_Hb1 zenon_H158 zenon_H1ca zenon_H111 zenon_Hca zenon_H19d zenon_H117 zenon_H18d zenon_H12a zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H27 zenon_H4b zenon_H13a zenon_H189 zenon_H126 zenon_H20b zenon_H20a zenon_H209 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2b8 zenon_Hc zenon_Hd zenon_He zenon_H16f zenon_H105 zenon_H2a1 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H2b0 zenon_H10e zenon_H1cd zenon_H28a zenon_H28b zenon_H28c zenon_H62. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L738_); trivial. % 1.32/1.44 apply (zenon_L701_); trivial. % 1.32/1.44 apply (zenon_L977_); trivial. % 1.32/1.44 apply (zenon_L1053_); trivial. % 1.32/1.44 apply (zenon_L918_); trivial. % 1.32/1.44 (* end of lemma zenon_L1068_ *) % 1.32/1.44 assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2407)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H28c zenon_H28b zenon_H28a zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H154 zenon_Hb3 zenon_H255 zenon_H4e zenon_H1cd zenon_H4b zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_Hef zenon_Hb1 zenon_H1cb zenon_H24e zenon_H24c zenon_H24d zenon_H1ae zenon_H16f zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a zenon_H217 zenon_H1ca zenon_H147 zenon_H21c zenon_H1b9 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H165 zenon_H13e. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_L987_); trivial. % 1.32/1.44 apply (zenon_L1054_); trivial. % 1.32/1.44 (* end of lemma zenon_L1069_ *) % 1.32/1.44 assert (zenon_L1070_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp0)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (c0_1 (a2407)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H92 zenon_H98 zenon_H28c zenon_H28b zenon_H28a zenon_H154 zenon_H255 zenon_H62 zenon_H5e zenon_H27 zenon_H105 zenon_H97 zenon_H6e zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H189 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1ca zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hb1 zenon_Hef zenon_H147 zenon_H21c zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H1b9 zenon_H18d zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H4b zenon_H1cb zenon_H1db zenon_H165 zenon_H4e zenon_H1cd zenon_H13e zenon_H19f zenon_H243 zenon_H126 zenon_H16f zenon_H24d zenon_H24c zenon_H24e zenon_Haf zenon_Hb3 zenon_H96. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.44 apply (zenon_L989_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.44 apply (zenon_L939_); trivial. % 1.32/1.44 apply (zenon_L1069_); trivial. % 1.32/1.44 (* end of lemma zenon_L1070_ *) % 1.32/1.44 assert (zenon_L1071_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1b9 zenon_H21c zenon_H1ca zenon_H217 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H4b zenon_H147 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hef zenon_Hb1 zenon_H1cb zenon_H1ae zenon_H16f zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H15 zenon_H243 zenon_H18d zenon_H19d zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L362_); trivial. % 1.32/1.44 apply (zenon_L894_); trivial. % 1.32/1.44 apply (zenon_L935_); trivial. % 1.32/1.44 apply (zenon_L25_); trivial. % 1.32/1.44 apply (zenon_L28_); trivial. % 1.32/1.44 (* end of lemma zenon_L1071_ *) % 1.32/1.44 assert (zenon_L1072_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2402))) -> (c3_1 (a2402)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H72 zenon_Ha zenon_H2c1 zenon_H2c2 zenon_H2c3. % 1.32/1.44 generalize (zenon_H72 (a2402)). zenon_intro zenon_H2c4. % 1.32/1.44 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c5 ]. % 1.32/1.44 exact (zenon_H9 zenon_Ha). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2c6 ]. % 1.32/1.44 exact (zenon_H2c1 zenon_H2c7). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2c8 ]. % 1.32/1.44 exact (zenon_H2c2 zenon_H2c9). % 1.32/1.44 exact (zenon_H2c8 zenon_H2c3). % 1.32/1.44 (* end of lemma zenon_L1072_ *) % 1.32/1.44 assert (zenon_L1073_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (c3_1 (a2402)) -> False). % 1.32/1.44 do 0 intro. intros zenon_Ha5 zenon_Ha zenon_H2c1 zenon_H72 zenon_H2c3. % 1.32/1.44 generalize (zenon_Ha5 (a2402)). zenon_intro zenon_H2ca. % 1.32/1.44 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cb ]. % 1.32/1.44 exact (zenon_H9 zenon_Ha). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2cc ]. % 1.32/1.44 exact (zenon_H2c1 zenon_H2c7). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c8 ]. % 1.32/1.44 apply (zenon_L1072_); trivial. % 1.32/1.44 exact (zenon_H2c8 zenon_H2c3). % 1.32/1.44 (* end of lemma zenon_L1073_ *) % 1.32/1.44 assert (zenon_L1074_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H72 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H19 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.32/1.44 apply (zenon_L1073_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.32/1.44 apply (zenon_L13_); trivial. % 1.32/1.44 apply (zenon_L144_); trivial. % 1.32/1.44 (* end of lemma zenon_L1074_ *) % 1.32/1.44 assert (zenon_L1075_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp1)) -> (~(c0_1 (a2455))) -> (c2_1 (a2455)) -> (c3_1 (a2455)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1ae zenon_H43 zenon_H12b zenon_H12c zenon_H12d zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_H19 zenon_H107 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Ha zenon_Hd7. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H39 | zenon_intro zenon_H1af ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.32/1.44 apply (zenon_L1074_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.32/1.44 apply (zenon_L82_); trivial. % 1.32/1.44 exact (zenon_H43 zenon_H44). % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd8 ]. % 1.32/1.44 apply (zenon_L139_); trivial. % 1.32/1.44 exact (zenon_Hd7 zenon_Hd8). % 1.32/1.44 (* end of lemma zenon_L1075_ *) % 1.32/1.44 assert (zenon_L1076_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.32/1.44 do 0 intro. intros zenon_H13b zenon_H1b9 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H43 zenon_H1ae zenon_H145 zenon_H1b7. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 1.32/1.44 apply (zenon_L1075_); trivial. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 1.32/1.44 exact (zenon_H145 zenon_H146). % 1.32/1.44 exact (zenon_H1b7 zenon_H1b8). % 1.32/1.44 (* end of lemma zenon_L1076_ *) % 1.32/1.44 assert (zenon_L1077_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H111 zenon_H59 zenon_H18d zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H145 zenon_H1b9 zenon_H13a zenon_H4b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.44 apply (zenon_L80_); trivial. % 1.32/1.44 apply (zenon_L1076_); trivial. % 1.32/1.44 apply (zenon_L147_); trivial. % 1.32/1.44 apply (zenon_L148_); trivial. % 1.32/1.44 apply (zenon_L150_); trivial. % 1.32/1.44 (* end of lemma zenon_L1077_ *) % 1.32/1.44 assert (zenon_L1078_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.32/1.44 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.44 apply (zenon_L281_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.44 apply (zenon_L40_); trivial. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.44 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.44 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.44 apply (zenon_L1077_); trivial. % 1.32/1.44 apply (zenon_L214_); trivial. % 1.32/1.44 (* end of lemma zenon_L1078_ *) % 1.32/1.44 assert (zenon_L1079_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H13e zenon_H46 zenon_H217 zenon_H15 zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H237 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_L1078_); trivial. % 1.32/1.45 apply (zenon_L275_); trivial. % 1.32/1.45 (* end of lemma zenon_L1079_ *) % 1.32/1.45 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H1b9 zenon_H107 zenon_H165 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_Hb7 zenon_H13a zenon_H237 zenon_H8d zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H43 zenon_H46 zenon_H4b zenon_H13e. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.45 apply (zenon_L276_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_L1079_); trivial. % 1.32/1.45 apply (zenon_L277_); trivial. % 1.32/1.45 (* end of lemma zenon_L1080_ *) % 1.32/1.45 assert (zenon_L1081_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H98 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_H1 zenon_Hb7 zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H15 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H1cd zenon_H247 zenon_H107 zenon_H7e zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H96. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.45 apply (zenon_L378_); trivial. % 1.32/1.45 apply (zenon_L1080_); trivial. % 1.32/1.45 (* end of lemma zenon_L1081_ *) % 1.32/1.45 assert (zenon_L1082_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp10)) -> (~(hskp16)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H7e zenon_H2c3 zenon_H2c1 zenon_Ha zenon_Ha5 zenon_H7c zenon_H23. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H72 | zenon_intro zenon_H7f ]. % 1.32/1.45 apply (zenon_L1073_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H7d | zenon_intro zenon_H24 ]. % 1.32/1.45 exact (zenon_H7c zenon_H7d). % 1.32/1.45 exact (zenon_H23 zenon_H24). % 1.32/1.45 (* end of lemma zenon_L1082_ *) % 1.32/1.45 assert (zenon_L1083_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp16)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp1)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_Haf zenon_H23 zenon_H7c zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H7e zenon_H43. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 1.32/1.45 apply (zenon_L43_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.32/1.45 apply (zenon_L1082_); trivial. % 1.32/1.45 exact (zenon_H43 zenon_H44). % 1.32/1.45 (* end of lemma zenon_L1083_ *) % 1.32/1.45 assert (zenon_L1084_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H6d zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H37 zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.45 apply (zenon_L1083_); trivial. % 1.32/1.45 apply (zenon_L87_); trivial. % 1.32/1.45 (* end of lemma zenon_L1084_ *) % 1.32/1.45 assert (zenon_L1085_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H97 zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b zenon_H4e. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_L88_); trivial. % 1.32/1.45 apply (zenon_L1084_); trivial. % 1.32/1.45 (* end of lemma zenon_L1085_ *) % 1.32/1.45 assert (zenon_L1086_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H166 zenon_Ha zenon_H2c1 zenon_H2cd zenon_H2c3. % 1.32/1.45 generalize (zenon_H166 (a2402)). zenon_intro zenon_H2ce. % 1.32/1.45 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cf ]. % 1.32/1.45 exact (zenon_H9 zenon_Ha). % 1.32/1.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H2c7 | zenon_intro zenon_H2d0 ]. % 1.32/1.45 exact (zenon_H2c1 zenon_H2c7). % 1.32/1.45 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2c8 ]. % 1.32/1.45 exact (zenon_H2d1 zenon_H2cd). % 1.32/1.45 exact (zenon_H2c8 zenon_H2c3). % 1.32/1.45 (* end of lemma zenon_L1086_ *) % 1.32/1.45 assert (zenon_L1087_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H16f zenon_He zenon_Hd zenon_Hc zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Ha zenon_Hed. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.32/1.45 apply (zenon_L6_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.32/1.45 apply (zenon_L1086_); trivial. % 1.32/1.45 exact (zenon_Hed zenon_Hee). % 1.32/1.45 (* end of lemma zenon_L1087_ *) % 1.32/1.45 assert (zenon_L1088_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1087_); trivial. % 1.32/1.45 apply (zenon_L177_); trivial. % 1.32/1.45 (* end of lemma zenon_L1088_ *) % 1.32/1.45 assert (zenon_L1089_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H111 zenon_H1b9 zenon_H145 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.45 apply (zenon_L1088_); trivial. % 1.32/1.45 apply (zenon_L147_); trivial. % 1.32/1.45 (* end of lemma zenon_L1089_ *) % 1.32/1.45 assert (zenon_L1090_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ca zenon_H1c6 zenon_H43 zenon_Hc3 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b9 zenon_H111. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_L1089_); trivial. % 1.32/1.45 apply (zenon_L150_); trivial. % 1.32/1.45 (* end of lemma zenon_L1090_ *) % 1.32/1.45 assert (zenon_L1091_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_L1090_); trivial. % 1.32/1.45 apply (zenon_L214_); trivial. % 1.32/1.45 (* end of lemma zenon_L1091_ *) % 1.32/1.45 assert (zenon_L1092_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.45 apply (zenon_L281_); trivial. % 1.32/1.45 apply (zenon_L1091_); trivial. % 1.32/1.45 (* end of lemma zenon_L1092_ *) % 1.32/1.45 assert (zenon_L1093_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H145 zenon_H1b9 zenon_H111. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_L1089_); trivial. % 1.32/1.45 apply (zenon_L168_); trivial. % 1.32/1.45 (* end of lemma zenon_L1093_ *) % 1.32/1.45 assert (zenon_L1094_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H111 zenon_H1cd. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_L1092_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.45 apply (zenon_L240_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_L1093_); trivial. % 1.32/1.45 apply (zenon_L214_); trivial. % 1.32/1.45 (* end of lemma zenon_L1094_ *) % 1.32/1.45 assert (zenon_L1095_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_L1089_); trivial. % 1.32/1.45 apply (zenon_L241_); trivial. % 1.32/1.45 apply (zenon_L214_); trivial. % 1.32/1.45 (* end of lemma zenon_L1095_ *) % 1.32/1.45 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H165 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.45 apply (zenon_L240_); trivial. % 1.32/1.45 apply (zenon_L1095_); trivial. % 1.32/1.45 (* end of lemma zenon_L1096_ *) % 1.32/1.45 assert (zenon_L1097_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H62 zenon_H21c zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H1ae zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.45 apply (zenon_L1094_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_L303_); trivial. % 1.32/1.45 apply (zenon_L1096_); trivial. % 1.32/1.45 (* end of lemma zenon_L1097_ *) % 1.32/1.45 assert (zenon_L1098_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H112 zenon_H165 zenon_H139 zenon_H10e zenon_H154 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H147 zenon_H158 zenon_H4b. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1087_); trivial. % 1.32/1.45 apply (zenon_L108_); trivial. % 1.32/1.45 apply (zenon_L98_); trivial. % 1.32/1.45 apply (zenon_L100_); trivial. % 1.32/1.45 (* end of lemma zenon_L1098_ *) % 1.32/1.45 assert (zenon_L1099_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H4b zenon_H13a zenon_H139 zenon_H147 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H165. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_L101_); trivial. % 1.32/1.45 apply (zenon_L1098_); trivial. % 1.32/1.45 (* end of lemma zenon_L1099_ *) % 1.32/1.45 assert (zenon_L1100_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H92 zenon_H98 zenon_H8d zenon_H97 zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H33 zenon_H37 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H96. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_L113_); trivial. % 1.32/1.45 apply (zenon_L1084_); trivial. % 1.32/1.45 apply (zenon_L114_); trivial. % 1.32/1.45 apply (zenon_L116_); trivial. % 1.32/1.45 (* end of lemma zenon_L1100_ *) % 1.32/1.45 assert (zenon_L1101_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H286 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_Hb7 zenon_H237 zenon_H105 zenon_H23a zenon_Ha3 zenon_H1cd zenon_H247 zenon_H107 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_Haf zenon_H13f zenon_H141 zenon_H21c zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H1d9 zenon_H158 zenon_H154 zenon_H147 zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.32/1.45 apply (zenon_L348_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.45 apply (zenon_L1081_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.45 apply (zenon_L1085_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.45 apply (zenon_L90_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_L1097_); trivial. % 1.32/1.45 apply (zenon_L1099_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.45 apply (zenon_L379_); trivial. % 1.32/1.45 apply (zenon_L1100_); trivial. % 1.32/1.45 (* end of lemma zenon_L1101_ *) % 1.32/1.45 assert (zenon_L1102_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31)))))) -> (~(hskp16)) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp1)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H19 zenon_H23 zenon_H7c zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H7e zenon_H43. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.32/1.45 apply (zenon_L63_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.32/1.45 apply (zenon_L1082_); trivial. % 1.32/1.45 exact (zenon_H43 zenon_H44). % 1.32/1.45 (* end of lemma zenon_L1102_ *) % 1.32/1.45 assert (zenon_L1103_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp16)) -> (~(hskp13)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H10d zenon_H27 zenon_H43 zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H7c zenon_H107 zenon_H23 zenon_H25. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.32/1.45 apply (zenon_L1102_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.32/1.45 exact (zenon_H23 zenon_H24). % 1.32/1.45 exact (zenon_H25 zenon_H26). % 1.32/1.45 (* end of lemma zenon_L1103_ *) % 1.32/1.45 assert (zenon_L1104_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c0_1 (a2478))) -> (c2_1 (a2478)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H16f zenon_H35 zenon_H84 zenon_H85 zenon_H86 zenon_H1f1 zenon_H1f2 zenon_H8d zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Ha zenon_Hed. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.32/1.45 apply (zenon_L194_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.32/1.45 apply (zenon_L1086_); trivial. % 1.32/1.45 exact (zenon_Hed zenon_Hee). % 1.32/1.45 (* end of lemma zenon_L1104_ *) % 1.32/1.45 assert (zenon_L1105_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1104_); trivial. % 1.32/1.45 apply (zenon_L177_); trivial. % 1.32/1.45 (* end of lemma zenon_L1105_ *) % 1.32/1.45 assert (zenon_L1106_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.32/1.45 apply (zenon_L192_); trivial. % 1.32/1.45 apply (zenon_L1105_); trivial. % 1.32/1.45 (* end of lemma zenon_L1106_ *) % 1.32/1.45 assert (zenon_L1107_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (c2_1 (a2478)) -> (~(c0_1 (a2478))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.32/1.45 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_He1 zenon_He2 zenon_Hf1 zenon_H105 zenon_H43 zenon_H107 zenon_H8d zenon_H35 zenon_H86 zenon_H85 zenon_H84 zenon_H1f2 zenon_H1f1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1104_); trivial. % 1.32/1.45 apply (zenon_L161_); trivial. % 1.32/1.45 (* end of lemma zenon_L1107_ *) % 1.32/1.45 assert (zenon_L1108_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H111 zenon_Hca zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H1 zenon_H5b zenon_Hb7 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.45 apply (zenon_L1106_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.32/1.45 apply (zenon_L192_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.32/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.45 apply (zenon_L48_); trivial. % 1.32/1.45 apply (zenon_L1107_); trivial. % 1.32/1.45 (* end of lemma zenon_L1108_ *) % 1.32/1.45 assert (zenon_L1109_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H27 zenon_H25 zenon_H23 zenon_H105 zenon_H43 zenon_H107 zenon_H1 zenon_H5b zenon_Hb7 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_L1108_); trivial. % 1.32/1.45 apply (zenon_L86_); trivial. % 1.32/1.45 apply (zenon_L168_); trivial. % 1.32/1.45 (* end of lemma zenon_L1109_ *) % 1.32/1.45 assert (zenon_L1110_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.45 apply (zenon_L1106_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.32/1.45 apply (zenon_L192_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1104_); trivial. % 1.32/1.45 apply (zenon_L69_); trivial. % 1.32/1.45 (* end of lemma zenon_L1110_ *) % 1.32/1.45 assert (zenon_L1111_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H13f zenon_H141 zenon_H4b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_L1110_); trivial. % 1.32/1.45 apply (zenon_L86_); trivial. % 1.32/1.45 apply (zenon_L168_); trivial. % 1.32/1.45 (* end of lemma zenon_L1111_ *) % 1.32/1.45 assert (zenon_L1112_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.45 apply (zenon_L1111_); trivial. % 1.32/1.45 apply (zenon_L87_); trivial. % 1.32/1.45 (* end of lemma zenon_L1112_ *) % 1.32/1.45 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> False). % 1.32/1.45 do 0 intro. intros zenon_H109 zenon_H139 zenon_H65 zenon_H64 zenon_H66 zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_Hba zenon_Hbb zenon_Hbc zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H43. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H108 ]. % 1.32/1.45 apply (zenon_L81_); trivial. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.32/1.45 apply (zenon_L159_); trivial. % 1.32/1.45 exact (zenon_H43 zenon_H44). % 1.32/1.45 (* end of lemma zenon_L1113_ *) % 1.32/1.45 assert (zenon_L1114_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H6d zenon_H13e zenon_H165 zenon_H4b zenon_H1b9 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H73 zenon_H74 zenon_H75 zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H126 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1c6 zenon_H1ca zenon_H147 zenon_H19d zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H158 zenon_H1cd. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.32/1.45 apply (zenon_L192_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.32/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.45 apply (zenon_L79_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1104_); trivial. % 1.32/1.45 apply (zenon_L1113_); trivial. % 1.32/1.45 apply (zenon_L126_); trivial. % 1.32/1.45 apply (zenon_L167_); trivial. % 1.32/1.45 apply (zenon_L150_); trivial. % 1.32/1.45 apply (zenon_L100_); trivial. % 1.32/1.45 apply (zenon_L221_); trivial. % 1.32/1.45 apply (zenon_L1098_); trivial. % 1.32/1.45 (* end of lemma zenon_L1114_ *) % 1.32/1.45 assert (zenon_L1115_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H19d zenon_H154 zenon_H158 zenon_H13e zenon_H4e zenon_H37 zenon_H141 zenon_H13f zenon_H27 zenon_H1d9 zenon_H165 zenon_H4b zenon_H1b9 zenon_H189 zenon_H201 zenon_Hca zenon_H10e zenon_H107 zenon_H43 zenon_H105 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H126 zenon_H12a zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a zenon_H1c6 zenon_H1ca zenon_H1e0 zenon_H18d zenon_H111 zenon_H1cd zenon_H62. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.32/1.45 apply (zenon_L192_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.32/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.45 apply (zenon_L79_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.45 apply (zenon_L1104_); trivial. % 1.32/1.45 apply (zenon_L211_); trivial. % 1.32/1.45 apply (zenon_L137_); trivial. % 1.32/1.45 apply (zenon_L167_); trivial. % 1.32/1.45 apply (zenon_L150_); trivial. % 1.32/1.45 apply (zenon_L214_); trivial. % 1.32/1.45 apply (zenon_L1091_); trivial. % 1.32/1.45 apply (zenon_L1112_); trivial. % 1.32/1.45 apply (zenon_L115_); trivial. % 1.32/1.45 apply (zenon_L1114_); trivial. % 1.32/1.45 (* end of lemma zenon_L1115_ *) % 1.32/1.45 assert (zenon_L1116_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1c5 zenon_H13a zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H3 zenon_H23a zenon_H2c zenon_H2b zenon_H2a zenon_H64 zenon_H65 zenon_H66 zenon_H7c zenon_Haf zenon_H2ab zenon_H237. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.45 apply (zenon_L475_); trivial. % 1.32/1.45 apply (zenon_L650_); trivial. % 1.32/1.45 apply (zenon_L652_); trivial. % 1.32/1.45 (* end of lemma zenon_L1116_ *) % 1.32/1.45 assert (zenon_L1117_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H6d zenon_H4e zenon_H165 zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H237 zenon_H2ab zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_H1ca zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.45 apply (zenon_L1083_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_L228_); trivial. % 1.32/1.45 apply (zenon_L1116_); trivial. % 1.32/1.45 apply (zenon_L655_); trivial. % 1.32/1.45 (* end of lemma zenon_L1117_ *) % 1.32/1.45 assert (zenon_L1118_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H98 zenon_H8d zenon_H97 zenon_H165 zenon_H1b9 zenon_H237 zenon_H2ab zenon_H23a zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_H1ca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H33 zenon_H37 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H96. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.45 apply (zenon_L26_); trivial. % 1.32/1.45 apply (zenon_L1117_); trivial. % 1.32/1.45 apply (zenon_L32_); trivial. % 1.32/1.45 apply (zenon_L36_); trivial. % 1.32/1.45 (* end of lemma zenon_L1118_ *) % 1.32/1.45 assert (zenon_L1119_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H175 zenon_H95 zenon_H141 zenon_H13f zenon_H96 zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H7e zenon_Haf zenon_H1ca zenon_H13a zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H2ab zenon_H237 zenon_H1b9 zenon_H165 zenon_H97 zenon_H8d zenon_H98. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.45 apply (zenon_L1118_); trivial. % 1.32/1.45 apply (zenon_L1100_); trivial. % 1.32/1.45 (* end of lemma zenon_L1119_ *) % 1.32/1.45 assert (zenon_L1120_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_Hc5 zenon_H237 zenon_H1a1 zenon_Haf zenon_H7c zenon_H66 zenon_H65 zenon_H64 zenon_H2a zenon_H2b zenon_H2c zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H123 zenon_H19f zenon_H247. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.32/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.32/1.45 apply (zenon_L475_); trivial. % 1.32/1.45 apply (zenon_L255_); trivial. % 1.32/1.45 (* end of lemma zenon_L1120_ *) % 1.32/1.45 assert (zenon_L1121_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H13b zenon_Hca zenon_H237 zenon_H1a1 zenon_H7c zenon_H3 zenon_H23a zenon_H1 zenon_H5b zenon_Hb7. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.45 apply (zenon_L48_); trivial. % 1.32/1.45 apply (zenon_L797_); trivial. % 1.32/1.45 (* end of lemma zenon_L1121_ *) % 1.32/1.45 assert (zenon_L1122_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H6d zenon_H4e zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H3 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H139. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.45 apply (zenon_L1083_); trivial. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.32/1.45 apply (zenon_L48_); trivial. % 1.32/1.45 apply (zenon_L1120_); trivial. % 1.32/1.45 apply (zenon_L1121_); trivial. % 1.32/1.45 (* end of lemma zenon_L1122_ *) % 1.32/1.45 assert (zenon_L1123_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H27 zenon_H25 zenon_H23 zenon_H107 zenon_H43 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.32/1.45 apply (zenon_L1110_); trivial. % 1.32/1.45 apply (zenon_L19_); trivial. % 1.32/1.45 apply (zenon_L168_); trivial. % 1.32/1.45 (* end of lemma zenon_L1123_ *) % 1.32/1.45 assert (zenon_L1124_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.45 do 0 intro. intros zenon_H112 zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.45 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.45 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.45 apply (zenon_L1123_); trivial. % 1.32/1.45 apply (zenon_L20_); trivial. % 1.32/1.45 (* end of lemma zenon_L1124_ *) % 1.32/1.45 assert (zenon_L1125_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H98 zenon_H117 zenon_H126 zenon_H12a zenon_H13e zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2cd zenon_H16f zenon_H1e8 zenon_H1ed zenon_H105 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hc6 zenon_H62 zenon_H97 zenon_H13a zenon_Hb7 zenon_H1 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e zenon_H96. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_L41_); trivial. % 1.32/1.46 apply (zenon_L1122_); trivial. % 1.32/1.46 apply (zenon_L32_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L52_); trivial. % 1.32/1.46 apply (zenon_L1124_); trivial. % 1.32/1.46 apply (zenon_L35_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_L41_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L83_); trivial. % 1.32/1.46 apply (zenon_L1124_); trivial. % 1.32/1.46 apply (zenon_L35_); trivial. % 1.32/1.46 (* end of lemma zenon_L1125_ *) % 1.32/1.46 assert (zenon_L1126_ : ((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H204 zenon_H178 zenon_H5e zenon_H2ab zenon_H98 zenon_H117 zenon_H126 zenon_H12a zenon_H13e zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2cd zenon_H16f zenon_H1e8 zenon_H1ed zenon_H105 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hc6 zenon_H62 zenon_H97 zenon_H13a zenon_Hb7 zenon_H247 zenon_H19f zenon_H191 zenon_H190 zenon_H23a zenon_H1a1 zenon_H237 zenon_Hca zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_Ha3 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H96 zenon_H13f zenon_H141 zenon_H1cd zenon_H158 zenon_H154 zenon_H19d zenon_H147 zenon_H1c6 zenon_H189 zenon_H1b9 zenon_H165 zenon_H95. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.46 apply (zenon_L1125_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.46 apply (zenon_L1085_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L52_); trivial. % 1.32/1.46 apply (zenon_L1112_); trivial. % 1.32/1.46 apply (zenon_L115_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_L88_); trivial. % 1.32/1.46 apply (zenon_L1114_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.46 apply (zenon_L1118_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.46 apply (zenon_L1085_); trivial. % 1.32/1.46 apply (zenon_L116_); trivial. % 1.32/1.46 (* end of lemma zenon_L1126_ *) % 1.32/1.46 assert (zenon_L1127_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H285 zenon_H1a1 zenon_H19d zenon_H1a3 zenon_H201 zenon_H1ed zenon_H2ab zenon_H19f zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H21c zenon_H141 zenon_H13f zenon_Haf zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.32/1.46 apply (zenon_L1101_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.32/1.46 apply (zenon_L4_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_L1088_); trivial. % 1.32/1.46 apply (zenon_L1103_); trivial. % 1.32/1.46 apply (zenon_L168_); trivial. % 1.32/1.46 apply (zenon_L87_); trivial. % 1.32/1.46 apply (zenon_L25_); trivial. % 1.32/1.46 apply (zenon_L1084_); trivial. % 1.32/1.46 apply (zenon_L114_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_L1109_); trivial. % 1.32/1.46 apply (zenon_L87_); trivial. % 1.32/1.46 apply (zenon_L115_); trivial. % 1.32/1.46 apply (zenon_L1115_); trivial. % 1.32/1.46 apply (zenon_L1119_); trivial. % 1.32/1.46 apply (zenon_L1126_); trivial. % 1.32/1.46 (* end of lemma zenon_L1127_ *) % 1.32/1.46 assert (zenon_L1128_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_Ha zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H145 zenon_H1b7 zenon_H1b9 zenon_H13a. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.32/1.46 apply (zenon_L239_); trivial. % 1.32/1.46 apply (zenon_L1076_); trivial. % 1.32/1.46 apply (zenon_L147_); trivial. % 1.32/1.46 (* end of lemma zenon_L1128_ *) % 1.32/1.46 assert (zenon_L1129_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H13a zenon_H1b9 zenon_H145 zenon_H107 zenon_H43 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H1ae zenon_Ha zenon_Hda zenon_Hcc zenon_Hcd zenon_H15 zenon_H217 zenon_H18d zenon_H59 zenon_H111. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.46 apply (zenon_L1128_); trivial. % 1.32/1.46 apply (zenon_L168_); trivial. % 1.32/1.46 (* end of lemma zenon_L1129_ *) % 1.32/1.46 assert (zenon_L1130_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.46 apply (zenon_L1129_); trivial. % 1.32/1.46 apply (zenon_L293_); trivial. % 1.32/1.46 (* end of lemma zenon_L1130_ *) % 1.32/1.46 assert (zenon_L1131_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L52_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.46 apply (zenon_L240_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_L40_); trivial. % 1.32/1.46 apply (zenon_L1130_); trivial. % 1.32/1.46 apply (zenon_L25_); trivial. % 1.32/1.46 apply (zenon_L28_); trivial. % 1.32/1.46 (* end of lemma zenon_L1131_ *) % 1.32/1.46 assert (zenon_L1132_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H4a zenon_H165 zenon_H75 zenon_H74 zenon_H73 zenon_H111 zenon_H59 zenon_H18d zenon_H217 zenon_H15 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.46 apply (zenon_L1129_); trivial. % 1.32/1.46 apply (zenon_L214_); trivial. % 1.32/1.46 (* end of lemma zenon_L1132_ *) % 1.32/1.46 assert (zenon_L1133_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H13e zenon_H25 zenon_H1d9 zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L1078_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.46 apply (zenon_L240_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_L31_); trivial. % 1.32/1.46 apply (zenon_L1132_); trivial. % 1.32/1.46 (* end of lemma zenon_L1133_ *) % 1.32/1.46 assert (zenon_L1134_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.32/1.46 apply (zenon_L1131_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_L1133_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L1078_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.46 apply (zenon_L240_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.32/1.46 apply (zenon_L40_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.46 apply (zenon_L1128_); trivial. % 1.32/1.46 apply (zenon_L241_); trivial. % 1.32/1.46 apply (zenon_L232_); trivial. % 1.32/1.46 apply (zenon_L271_); trivial. % 1.32/1.46 apply (zenon_L1080_); trivial. % 1.32/1.46 (* end of lemma zenon_L1134_ *) % 1.32/1.46 assert (zenon_L1135_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H62 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H21c zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H7e zenon_H7c zenon_H1d9 zenon_H13e. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.32/1.46 apply (zenon_L1133_); trivial. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.32/1.46 apply (zenon_L1078_); trivial. % 1.32/1.46 apply (zenon_L1096_); trivial. % 1.32/1.46 (* end of lemma zenon_L1135_ *) % 1.32/1.46 assert (zenon_L1136_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> (~(c1_1 (a2427))) -> (c2_1 (a2427)) -> (c3_1 (a2427)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H159 zenon_H15a zenon_H15b zenon_H43 zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.32/1.46 apply (zenon_L1088_); trivial. % 1.32/1.46 apply (zenon_L291_); trivial. % 1.32/1.46 (* end of lemma zenon_L1136_ *) % 1.32/1.46 assert (zenon_L1137_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H162 zenon_H1ca zenon_H1c6 zenon_Hc3 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H43 zenon_H20b zenon_H20a zenon_H209 zenon_H59 zenon_H18d zenon_H111. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.32/1.46 apply (zenon_L1136_); trivial. % 1.32/1.46 apply (zenon_L150_); trivial. % 1.32/1.46 (* end of lemma zenon_L1137_ *) % 1.32/1.46 assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hc3 zenon_H43 zenon_H1c6 zenon_H1ca. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.46 apply (zenon_L1090_); trivial. % 1.32/1.46 apply (zenon_L1137_); trivial. % 1.32/1.46 (* end of lemma zenon_L1138_ *) % 1.32/1.46 assert (zenon_L1139_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.32/1.46 apply (zenon_L280_); trivial. % 1.32/1.46 apply (zenon_L1137_); trivial. % 1.32/1.46 apply (zenon_L1138_); trivial. % 1.32/1.46 (* end of lemma zenon_L1139_ *) % 1.32/1.46 assert (zenon_L1140_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2408)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H209 zenon_H72 zenon_H20a zenon_H20b. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.32/1.46 apply (zenon_L1073_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.32/1.46 apply (zenon_L13_); trivial. % 1.32/1.46 apply (zenon_L230_); trivial. % 1.32/1.46 (* end of lemma zenon_L1140_ *) % 1.32/1.46 assert (zenon_L1141_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp19)) -> False). % 1.32/1.46 do 0 intro. intros zenon_H109 zenon_H8d zenon_H43 zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H86 zenon_H85 zenon_H84 zenon_H35. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.32/1.46 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.32/1.46 apply (zenon_L1140_); trivial. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.32/1.46 apply (zenon_L67_); trivial. % 1.32/1.46 exact (zenon_H43 zenon_H44). % 1.32/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.32/1.46 apply (zenon_L33_); trivial. % 1.32/1.46 exact (zenon_H35 zenon_H36). % 1.32/1.46 (* end of lemma zenon_L1141_ *) % 1.32/1.46 assert (zenon_L1142_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.32/1.46 do 0 intro. intros zenon_H10e zenon_H8d zenon_H35 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.32/1.46 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.32/1.46 apply (zenon_L1087_); trivial. % 1.32/1.46 apply (zenon_L1141_); trivial. % 1.32/1.46 (* end of lemma zenon_L1142_ *) % 1.32/1.46 assert (zenon_L1143_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H4b zenon_H111 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H59 zenon_H18d zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1ae zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.46 apply (zenon_L1142_); trivial. % 1.35/1.46 apply (zenon_L148_); trivial. % 1.35/1.46 (* end of lemma zenon_L1143_ *) % 1.35/1.46 assert (zenon_L1144_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H10e zenon_H8d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1ae zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H18d zenon_H59 zenon_H145 zenon_H1b9 zenon_H111 zenon_H4b. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.46 apply (zenon_L1143_); trivial. % 1.35/1.46 apply (zenon_L168_); trivial. % 1.35/1.46 (* end of lemma zenon_L1144_ *) % 1.35/1.46 assert (zenon_L1145_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H4e zenon_H1ae zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H1cb zenon_H8d zenon_H1d9 zenon_Ha3 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5b zenon_H5e zenon_H62. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.46 apply (zenon_L1139_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.46 apply (zenon_L240_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.46 apply (zenon_L40_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.46 apply (zenon_L1144_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.46 apply (zenon_L1142_); trivial. % 1.35/1.46 apply (zenon_L292_); trivial. % 1.35/1.46 apply (zenon_L25_); trivial. % 1.35/1.46 apply (zenon_L28_); trivial. % 1.35/1.46 (* end of lemma zenon_L1145_ *) % 1.35/1.46 assert (zenon_L1146_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H4a zenon_H4b zenon_H141 zenon_H13f zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.46 apply (zenon_L1142_); trivial. % 1.35/1.46 apply (zenon_L86_); trivial. % 1.35/1.46 (* end of lemma zenon_L1146_ *) % 1.35/1.46 assert (zenon_L1147_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H112 zenon_H4e zenon_H4b zenon_H141 zenon_H13f zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.46 apply (zenon_L40_); trivial. % 1.35/1.46 apply (zenon_L1146_); trivial. % 1.35/1.46 (* end of lemma zenon_L1147_ *) % 1.35/1.46 assert (zenon_L1148_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H80 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_Ha3 zenon_H8d zenon_H1cb zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H13f zenon_H141 zenon_H4e zenon_H13e. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.46 apply (zenon_L1139_); trivial. % 1.35/1.46 apply (zenon_L1147_); trivial. % 1.35/1.46 apply (zenon_L1099_); trivial. % 1.35/1.46 (* end of lemma zenon_L1148_ *) % 1.35/1.46 assert (zenon_L1149_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H8f zenon_H96 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H13f zenon_H141 zenon_H62 zenon_H5e zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_H15 zenon_H217 zenon_Ha3 zenon_H1d9 zenon_H8d zenon_H1cb zenon_H105 zenon_H1ae zenon_H4e zenon_H13e zenon_H6e zenon_H97. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.46 apply (zenon_L1145_); trivial. % 1.35/1.46 apply (zenon_L1148_); trivial. % 1.35/1.46 (* end of lemma zenon_L1149_ *) % 1.35/1.46 assert (zenon_L1150_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H92 zenon_H98 zenon_H13f zenon_H141 zenon_H8d zenon_H105 zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H158 zenon_H154 zenon_H147 zenon_H139 zenon_H247 zenon_H96. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.46 apply (zenon_L1131_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.46 apply (zenon_L1135_); trivial. % 1.35/1.46 apply (zenon_L363_); trivial. % 1.35/1.46 apply (zenon_L1149_); trivial. % 1.35/1.46 (* end of lemma zenon_L1150_ *) % 1.35/1.46 assert (zenon_L1151_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H1b9 zenon_H107 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H59 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.46 apply (zenon_L260_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.46 apply (zenon_L12_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.46 apply (zenon_L1077_); trivial. % 1.35/1.46 apply (zenon_L293_); trivial. % 1.35/1.46 (* end of lemma zenon_L1151_ *) % 1.35/1.46 assert (zenon_L1152_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_Hca zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.46 apply (zenon_L240_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.46 apply (zenon_L12_); trivial. % 1.35/1.46 apply (zenon_L1130_); trivial. % 1.35/1.46 (* end of lemma zenon_L1152_ *) % 1.35/1.46 assert (zenon_L1153_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H59 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.46 apply (zenon_L1151_); trivial. % 1.35/1.46 apply (zenon_L1152_); trivial. % 1.35/1.46 (* end of lemma zenon_L1153_ *) % 1.35/1.46 assert (zenon_L1154_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd zenon_H5b zenon_H5e zenon_H62. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.46 apply (zenon_L1153_); trivial. % 1.35/1.46 apply (zenon_L25_); trivial. % 1.35/1.46 apply (zenon_L28_); trivial. % 1.35/1.46 (* end of lemma zenon_L1154_ *) % 1.35/1.46 assert (zenon_L1155_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H1ca zenon_H1c6 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H107 zenon_H1b9 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_H165 zenon_H4e zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H7e zenon_H139 zenon_H247 zenon_H96. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.46 apply (zenon_L1154_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.46 apply (zenon_L1153_); trivial. % 1.35/1.46 apply (zenon_L245_); trivial. % 1.35/1.46 apply (zenon_L449_); trivial. % 1.35/1.46 apply (zenon_L247_); trivial. % 1.35/1.46 (* end of lemma zenon_L1155_ *) % 1.35/1.46 assert (zenon_L1156_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))) -> (~(hskp10)) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp1)) -> False). % 1.35/1.46 do 0 intro. intros zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H119 zenon_H7c zenon_Ha zenon_Hfb zenon_Hfc zenon_H18f zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H43. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.35/1.46 apply (zenon_L230_); trivial. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.35/1.46 apply (zenon_L323_); trivial. % 1.35/1.46 exact (zenon_H43 zenon_H44). % 1.35/1.46 (* end of lemma zenon_L1156_ *) % 1.35/1.46 assert (zenon_L1157_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c0_1 (a2435))) -> (~(c2_1 (a2435))) -> (c3_1 (a2435)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H109 zenon_H12a zenon_He1 zenon_He2 zenon_Hf1 zenon_H19d zenon_Hbc zenon_Hbb zenon_Hba zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H59 zenon_H18d. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 1.35/1.46 apply (zenon_L128_); trivial. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18f | zenon_intro zenon_H19e ]. % 1.35/1.46 apply (zenon_L1156_); trivial. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H116 ]. % 1.35/1.46 apply (zenon_L49_); trivial. % 1.35/1.46 exact (zenon_H115 zenon_H116). % 1.35/1.46 exact (zenon_H59 zenon_H5a). % 1.35/1.46 apply (zenon_L129_); trivial. % 1.35/1.46 (* end of lemma zenon_L1157_ *) % 1.35/1.46 assert (zenon_L1158_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.46 do 0 intro. intros zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.46 apply (zenon_L1088_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.46 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.46 apply (zenon_L130_); trivial. % 1.35/1.46 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.46 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.46 apply (zenon_L1087_); trivial. % 1.35/1.46 apply (zenon_L1157_); trivial. % 1.35/1.46 (* end of lemma zenon_L1158_ *) % 1.35/1.46 assert (zenon_L1159_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H4b zenon_H141 zenon_H13f zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1158_); trivial. % 1.35/1.47 apply (zenon_L86_); trivial. % 1.35/1.47 (* end of lemma zenon_L1159_ *) % 1.35/1.47 assert (zenon_L1160_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_L1159_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 (* end of lemma zenon_L1160_ *) % 1.35/1.47 assert (zenon_L1161_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False). % 1.35/1.47 do 0 intro. intros zenon_H109 zenon_H154 zenon_H65 zenon_H64 zenon_H66 zenon_Haf zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.35/1.47 apply (zenon_L43_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.35/1.47 apply (zenon_L6_); trivial. % 1.35/1.47 apply (zenon_L136_); trivial. % 1.35/1.47 (* end of lemma zenon_L1161_ *) % 1.35/1.47 assert (zenon_L1162_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.47 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H154 zenon_H1a1 zenon_H64 zenon_H65 zenon_H66 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_L1161_); trivial. % 1.35/1.47 (* end of lemma zenon_L1162_ *) % 1.35/1.47 assert (zenon_L1163_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H6d zenon_Hca zenon_H10e zenon_H154 zenon_H1a1 zenon_H7c zenon_Haf zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.47 apply (zenon_L48_); trivial. % 1.35/1.47 apply (zenon_L1162_); trivial. % 1.35/1.47 (* end of lemma zenon_L1163_ *) % 1.35/1.47 assert (zenon_L1164_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H97 zenon_H154 zenon_Haf zenon_H1 zenon_Hb7 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b zenon_H5b zenon_H5e zenon_H62. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_L1160_); trivial. % 1.35/1.47 apply (zenon_L25_); trivial. % 1.35/1.47 apply (zenon_L1163_); trivial. % 1.35/1.47 (* end of lemma zenon_L1164_ *) % 1.35/1.47 assert (zenon_L1165_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1c5 zenon_H10e zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_L324_); trivial. % 1.35/1.47 (* end of lemma zenon_L1165_ *) % 1.35/1.47 assert (zenon_L1166_ : ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c0_1 (a2409)) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(hskp10)) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H18f zenon_H10c zenon_Hfc zenon_Hfb zenon_Ha zenon_H149 zenon_H7c. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H1a2 ]. % 1.35/1.47 apply (zenon_L322_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H7d ]. % 1.35/1.47 apply (zenon_L105_); trivial. % 1.35/1.47 exact (zenon_H7c zenon_H7d). % 1.35/1.47 (* end of lemma zenon_L1166_ *) % 1.35/1.47 assert (zenon_L1167_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H6d zenon_H4e zenon_H10e zenon_H154 zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H247 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.47 apply (zenon_L31_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.35/1.47 apply (zenon_L81_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.35/1.47 apply (zenon_L6_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H248 ]. % 1.35/1.47 apply (zenon_L81_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H29 | zenon_intro zenon_H18f ]. % 1.35/1.47 apply (zenon_L13_); trivial. % 1.35/1.47 apply (zenon_L1166_); trivial. % 1.35/1.47 (* end of lemma zenon_L1167_ *) % 1.35/1.47 assert (zenon_L1168_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.47 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H18d zenon_H59 zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18a | zenon_intro zenon_H18e ]. % 1.35/1.47 apply (zenon_L128_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H119 | zenon_intro zenon_H5a ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.35/1.47 apply (zenon_L230_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.35/1.47 apply (zenon_L159_); trivial. % 1.35/1.47 exact (zenon_H43 zenon_H44). % 1.35/1.47 exact (zenon_H59 zenon_H5a). % 1.35/1.47 (* end of lemma zenon_L1168_ *) % 1.35/1.47 assert (zenon_L1169_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H10d zenon_Hca zenon_H10e zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_H35 zenon_H59 zenon_H18d zenon_H12a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.47 apply (zenon_L130_); trivial. % 1.35/1.47 apply (zenon_L1168_); trivial. % 1.35/1.47 (* end of lemma zenon_L1169_ *) % 1.35/1.47 assert (zenon_L1170_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.47 apply (zenon_L1106_); trivial. % 1.35/1.47 apply (zenon_L1169_); trivial. % 1.35/1.47 (* end of lemma zenon_L1170_ *) % 1.35/1.47 assert (zenon_L1171_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1170_); trivial. % 1.35/1.47 apply (zenon_L86_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 apply (zenon_L115_); trivial. % 1.35/1.47 (* end of lemma zenon_L1171_ *) % 1.35/1.47 assert (zenon_L1172_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H165 zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H5b zenon_H154 zenon_H158 zenon_H4b zenon_H1b9 zenon_H201 zenon_Hca zenon_H10e zenon_H139 zenon_H105 zenon_H107 zenon_H43 zenon_H66 zenon_H64 zenon_H65 zenon_H187 zenon_H189 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H13a zenon_H25 zenon_H1d9 zenon_H1ca. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.47 apply (zenon_L192_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.47 apply (zenon_L79_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1104_); trivial. % 1.35/1.47 apply (zenon_L188_); trivial. % 1.35/1.47 apply (zenon_L126_); trivial. % 1.35/1.47 apply (zenon_L167_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 apply (zenon_L198_); trivial. % 1.35/1.47 (* end of lemma zenon_L1172_ *) % 1.35/1.47 assert (zenon_L1173_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H112 zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.47 apply (zenon_L1111_); trivial. % 1.35/1.47 apply (zenon_L1146_); trivial. % 1.35/1.47 (* end of lemma zenon_L1173_ *) % 1.35/1.47 assert (zenon_L1174_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H80 zenon_H97 zenon_H13e zenon_H165 zenon_H1b9 zenon_H139 zenon_H126 zenon_H189 zenon_H13a zenon_H1c6 zenon_H147 zenon_H19d zenon_H154 zenon_H158 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H13f zenon_H141 zenon_H4b zenon_H62. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L1171_); trivial. % 1.35/1.47 apply (zenon_L1114_); trivial. % 1.35/1.47 (* end of lemma zenon_L1174_ *) % 1.35/1.47 assert (zenon_L1175_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H8f zenon_H96 zenon_H147 zenon_H62 zenon_H4b zenon_H141 zenon_H13f zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e zenon_H165 zenon_H1db zenon_H154 zenon_H158 zenon_H1b9 zenon_H139 zenon_H189 zenon_H126 zenon_H13a zenon_H27 zenon_H1 zenon_Hb7 zenon_H1c6 zenon_H19d zenon_H1cb zenon_H4e zenon_H1cd zenon_H97. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L1171_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L1172_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.47 apply (zenon_L1109_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.47 apply (zenon_L1106_); trivial. % 1.35/1.47 apply (zenon_L178_); trivial. % 1.35/1.47 apply (zenon_L86_); trivial. % 1.35/1.47 apply (zenon_L150_); trivial. % 1.35/1.47 apply (zenon_L232_); trivial. % 1.35/1.47 apply (zenon_L1173_); trivial. % 1.35/1.47 apply (zenon_L115_); trivial. % 1.35/1.47 apply (zenon_L1174_); trivial. % 1.35/1.47 (* end of lemma zenon_L1175_ *) % 1.35/1.47 assert (zenon_L1176_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H97 zenon_H237 zenon_H2ab zenon_H23a zenon_H3 zenon_H190 zenon_H191 zenon_H19f zenon_H247 zenon_H13a zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L234_); trivial. % 1.35/1.47 apply (zenon_L1117_); trivial. % 1.35/1.47 (* end of lemma zenon_L1176_ *) % 1.35/1.47 assert (zenon_L1177_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c0_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c3_1 (a2428))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1bc zenon_H1bd zenon_H1be zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H10e zenon_H201. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.47 apply (zenon_L192_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.35/1.47 apply (zenon_L149_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.35/1.47 apply (zenon_L193_); trivial. % 1.35/1.47 apply (zenon_L317_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.35/1.47 apply (zenon_L1086_); trivial. % 1.35/1.47 exact (zenon_Hed zenon_Hee). % 1.35/1.47 apply (zenon_L324_); trivial. % 1.35/1.47 apply (zenon_L126_); trivial. % 1.35/1.47 (* end of lemma zenon_L1177_ *) % 1.35/1.47 assert (zenon_L1178_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1c5 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H52 zenon_H51 zenon_H50 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H187 zenon_H189 zenon_H13a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1177_); trivial. % 1.35/1.47 apply (zenon_L19_); trivial. % 1.35/1.47 (* end of lemma zenon_L1178_ *) % 1.35/1.47 assert (zenon_L1179_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c2_1 (a2409)) -> (c3_1 (a2409)) -> (c0_1 (a2409)) -> False). % 1.35/1.47 do 0 intro. intros zenon_H2ab zenon_H66 zenon_H65 zenon_H64 zenon_H1be zenon_H1bd zenon_H1bc zenon_H149 zenon_Ha zenon_Hfb zenon_Hfc zenon_H10c. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H63 | zenon_intro zenon_H2ac ]. % 1.35/1.47 apply (zenon_L27_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H1bb | zenon_intro zenon_Hf9 ]. % 1.35/1.47 apply (zenon_L149_); trivial. % 1.35/1.47 apply (zenon_L105_); trivial. % 1.35/1.47 (* end of lemma zenon_L1179_ *) % 1.35/1.47 assert (zenon_L1180_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H97 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H2ab zenon_H154 zenon_H10e zenon_Haf zenon_H7c zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5b zenon_H5e zenon_H62. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L234_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.47 apply (zenon_L1083_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_L228_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.35/1.47 apply (zenon_L43_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.35/1.47 apply (zenon_L6_); trivial. % 1.35/1.47 apply (zenon_L1179_); trivial. % 1.35/1.47 apply (zenon_L232_); trivial. % 1.35/1.47 (* end of lemma zenon_L1180_ *) % 1.35/1.47 assert (zenon_L1181_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H4a zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H1c zenon_H1b zenon_H1a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H10e zenon_H1ca. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_L228_); trivial. % 1.35/1.47 apply (zenon_L1165_); trivial. % 1.35/1.47 apply (zenon_L232_); trivial. % 1.35/1.47 (* end of lemma zenon_L1181_ *) % 1.35/1.47 assert (zenon_L1182_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H158 zenon_H267 zenon_H154 zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257 zenon_H5b zenon_H1db zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.47 apply (zenon_L1093_); trivial. % 1.35/1.47 apply (zenon_L371_); trivial. % 1.35/1.47 (* end of lemma zenon_L1182_ *) % 1.35/1.47 assert (zenon_L1183_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H5b zenon_H1db zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H13a zenon_H189 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_Hc3 zenon_H126 zenon_H12a zenon_H257 zenon_H33 zenon_Hc zenon_Hd zenon_He zenon_H154 zenon_H267 zenon_H158. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L362_); trivial. % 1.35/1.47 apply (zenon_L1182_); trivial. % 1.35/1.47 (* end of lemma zenon_L1183_ *) % 1.35/1.47 assert (zenon_L1184_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H1db zenon_H5b zenon_H165 zenon_H1cd zenon_H5e zenon_H62. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.47 apply (zenon_L1183_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L240_); trivial. % 1.35/1.47 apply (zenon_L1182_); trivial. % 1.35/1.47 apply (zenon_L25_); trivial. % 1.35/1.47 apply (zenon_L28_); trivial. % 1.35/1.47 (* end of lemma zenon_L1184_ *) % 1.35/1.47 assert (zenon_L1185_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H6d zenon_H13e zenon_H10e zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H4b zenon_H158 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H107 zenon_H43 zenon_H75 zenon_H74 zenon_H73 zenon_H147 zenon_H139 zenon_H13a zenon_H165. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.47 apply (zenon_L482_); trivial. % 1.35/1.47 apply (zenon_L1098_); trivial. % 1.35/1.47 (* end of lemma zenon_L1185_ *) % 1.35/1.47 assert (zenon_L1186_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H217 zenon_H15 zenon_H158 zenon_H267 zenon_H154 zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H1db zenon_H165 zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H4e zenon_H1cb zenon_H1ae zenon_Ha3 zenon_H1c6 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H4b zenon_H107 zenon_H7e zenon_H139 zenon_H147 zenon_H247 zenon_H96. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.47 apply (zenon_L1184_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L1135_); trivial. % 1.35/1.47 apply (zenon_L483_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.47 apply (zenon_L1184_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_L1097_); trivial. % 1.35/1.47 apply (zenon_L1185_); trivial. % 1.35/1.47 (* end of lemma zenon_L1186_ *) % 1.35/1.47 assert (zenon_L1187_ : ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H286 zenon_H139 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1ca zenon_H1c6 zenon_H1b9 zenon_H165 zenon_Hb7 zenon_H237 zenon_H105 zenon_H23a zenon_Ha3 zenon_H1cd zenon_H247 zenon_H107 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_Hc6 zenon_Hca zenon_H217 zenon_H13e zenon_H147 zenon_H21c zenon_H1db zenon_H16f zenon_H2cd zenon_H1e0 zenon_H10e zenon_H1d9 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H257 zenon_H154 zenon_H267 zenon_H158 zenon_H95 zenon_H17 zenon_H15 zenon_H7 zenon_H98 zenon_H8d zenon_H97 zenon_H6e zenon_H4e zenon_H4b zenon_H46 zenon_H43 zenon_H33 zenon_H37 zenon_H27 zenon_H5e zenon_H62 zenon_H7e zenon_H96 zenon_H178. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.47 apply (zenon_L348_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.47 apply (zenon_L1081_); trivial. % 1.35/1.47 apply (zenon_L1186_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.47 apply (zenon_L379_); trivial. % 1.35/1.47 apply (zenon_L1186_); trivial. % 1.35/1.47 (* end of lemma zenon_L1187_ *) % 1.35/1.47 assert (zenon_L1188_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a2453))) -> (~(c1_1 (a2453))) -> (~(c0_1 (a2453))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(c3_1 (a2484))) -> (~(hskp10)) -> False). % 1.35/1.47 do 0 intro. intros zenon_H109 zenon_H154 zenon_H25d zenon_H25c zenon_H25b zenon_He zenon_Hd zenon_Hc zenon_H1a1 zenon_Hbc zenon_Hbb zenon_Hba zenon_H7c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H157 ]. % 1.35/1.47 apply (zenon_L353_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hb | zenon_intro zenon_H149 ]. % 1.35/1.47 apply (zenon_L6_); trivial. % 1.35/1.47 apply (zenon_L136_); trivial. % 1.35/1.47 (* end of lemma zenon_L1188_ *) % 1.35/1.47 assert (zenon_L1189_ : ((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H264 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_Ha. zenon_intro zenon_H265. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H25b. zenon_intro zenon_H266. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H25d. % 1.35/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.47 apply (zenon_L48_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_L1188_); trivial. % 1.35/1.47 (* end of lemma zenon_L1189_ *) % 1.35/1.47 assert (zenon_L1190_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H267 zenon_Hca zenon_H10e zenon_H154 zenon_H7c zenon_H1a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7 zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H33 zenon_H257. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H258 | zenon_intro zenon_H264 ]. % 1.35/1.47 apply (zenon_L352_); trivial. % 1.35/1.47 apply (zenon_L1189_); trivial. % 1.35/1.47 (* end of lemma zenon_L1190_ *) % 1.35/1.47 assert (zenon_L1191_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.47 apply (zenon_L1088_); trivial. % 1.35/1.47 apply (zenon_L408_); trivial. % 1.35/1.47 (* end of lemma zenon_L1191_ *) % 1.35/1.47 assert (zenon_L1192_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_L1191_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 (* end of lemma zenon_L1192_ *) % 1.35/1.47 assert (zenon_L1193_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H111 zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L384_); trivial. % 1.35/1.47 apply (zenon_L1192_); trivial. % 1.35/1.47 (* end of lemma zenon_L1193_ *) % 1.35/1.47 assert (zenon_L1194_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H35 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1b7 zenon_H1e0 zenon_H10e. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.47 apply (zenon_L1088_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_L583_); trivial. % 1.35/1.47 (* end of lemma zenon_L1194_ *) % 1.35/1.47 assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H112 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_Hb7 zenon_H5b zenon_H1 zenon_Hca zenon_H4b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1194_); trivial. % 1.35/1.47 apply (zenon_L389_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 (* end of lemma zenon_L1195_ *) % 1.35/1.47 assert (zenon_L1196_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.47 do 0 intro. intros zenon_Hc5 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.47 apply (zenon_L1087_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.35/1.47 apply (zenon_L1074_); trivial. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.35/1.47 apply (zenon_L159_); trivial. % 1.35/1.47 exact (zenon_H43 zenon_H44). % 1.35/1.47 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.35/1.47 apply (zenon_L349_); trivial. % 1.35/1.47 apply (zenon_L191_); trivial. % 1.35/1.47 (* end of lemma zenon_L1196_ *) % 1.35/1.47 assert (zenon_L1197_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H4a zenon_Hca zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1 zenon_H5b zenon_Hb7. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.47 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.47 apply (zenon_L48_); trivial. % 1.35/1.47 apply (zenon_L1196_); trivial. % 1.35/1.47 (* end of lemma zenon_L1197_ *) % 1.35/1.47 assert (zenon_L1198_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H4e zenon_H1cb zenon_Hc zenon_Hd zenon_He zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H27 zenon_H111 zenon_H1c6 zenon_H1ca zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_H1d9 zenon_H13e. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L498_); trivial. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1108_); trivial. % 1.35/1.47 apply (zenon_L389_); trivial. % 1.35/1.47 apply (zenon_L150_); trivial. % 1.35/1.47 apply (zenon_L1197_); trivial. % 1.35/1.47 apply (zenon_L1195_); trivial. % 1.35/1.47 apply (zenon_L405_); trivial. % 1.35/1.47 (* end of lemma zenon_L1198_ *) % 1.35/1.47 assert (zenon_L1199_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H18d zenon_H59 zenon_H4b zenon_H189 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.47 apply (zenon_L1194_); trivial. % 1.35/1.47 apply (zenon_L382_); trivial. % 1.35/1.47 apply (zenon_L168_); trivial. % 1.35/1.47 apply (zenon_L1192_); trivial. % 1.35/1.47 (* end of lemma zenon_L1199_ *) % 1.35/1.47 assert (zenon_L1200_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.47 do 0 intro. intros zenon_H80 zenon_H97 zenon_H147 zenon_H139 zenon_H13e zenon_H4b zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H1d9 zenon_H158 zenon_H267 zenon_H154 zenon_He zenon_Hd zenon_Hc zenon_H33 zenon_H257 zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_H1ca zenon_H1c6 zenon_H43 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H1b9 zenon_H111 zenon_H107 zenon_H165 zenon_H1cd zenon_H1ae zenon_H62. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.47 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.47 apply (zenon_L362_); trivial. % 1.35/1.48 apply (zenon_L1091_); trivial. % 1.35/1.48 apply (zenon_L1199_); trivial. % 1.35/1.48 apply (zenon_L410_); trivial. % 1.35/1.48 apply (zenon_L1185_); trivial. % 1.35/1.48 (* end of lemma zenon_L1200_ *) % 1.35/1.48 assert (zenon_L1201_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H21c zenon_H52 zenon_H51 zenon_H50 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H59 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1191_); trivial. % 1.35/1.48 apply (zenon_L241_); trivial. % 1.35/1.48 (* end of lemma zenon_L1201_ *) % 1.35/1.48 assert (zenon_L1202_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H62 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H1 zenon_H5b zenon_Hb7 zenon_H4b zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H8d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H43 zenon_H107 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L52_); trivial. % 1.35/1.48 apply (zenon_L1195_); trivial. % 1.35/1.48 apply (zenon_L405_); trivial. % 1.35/1.48 (* end of lemma zenon_L1202_ *) % 1.35/1.48 assert (zenon_L1203_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp20)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.35/1.48 do 0 intro. intros zenon_H13b zenon_H270 zenon_Hd7 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H43 zenon_H1ae zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.35/1.48 apply (zenon_L1075_); trivial. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.35/1.48 apply (zenon_L349_); trivial. % 1.35/1.48 apply (zenon_L191_); trivial. % 1.35/1.48 (* end of lemma zenon_L1203_ *) % 1.35/1.48 assert (zenon_L1204_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1cd zenon_H4e zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H59 zenon_Ha3 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L627_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.48 apply (zenon_L40_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.48 apply (zenon_L484_); trivial. % 1.35/1.48 apply (zenon_L1203_); trivial. % 1.35/1.48 apply (zenon_L408_); trivial. % 1.35/1.48 (* end of lemma zenon_L1204_ *) % 1.35/1.48 assert (zenon_L1205_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H158 zenon_H154 zenon_H255 zenon_H147 zenon_H139 zenon_H165 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H4e zenon_H1cd zenon_H13e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H8d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1202_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1204_); trivial. % 1.35/1.48 apply (zenon_L1199_); trivial. % 1.35/1.48 apply (zenon_L410_); trivial. % 1.35/1.48 apply (zenon_L1185_); trivial. % 1.35/1.48 (* end of lemma zenon_L1205_ *) % 1.35/1.48 assert (zenon_L1206_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H285 zenon_H19f zenon_Haf zenon_H1ed zenon_H201 zenon_H1a1 zenon_H270 zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H33 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H158 zenon_H267 zenon_H154 zenon_H257 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H1db zenon_H21c zenon_H147 zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.48 apply (zenon_L1187_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.48 apply (zenon_L4_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1190_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1193_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L384_); trivial. % 1.35/1.48 apply (zenon_L1095_); trivial. % 1.35/1.48 apply (zenon_L1167_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1183_); trivial. % 1.35/1.48 apply (zenon_L1195_); trivial. % 1.35/1.48 apply (zenon_L410_); trivial. % 1.35/1.48 apply (zenon_L1198_); trivial. % 1.35/1.48 apply (zenon_L1200_); trivial. % 1.35/1.48 apply (zenon_L411_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.48 apply (zenon_L1125_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1190_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1193_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L586_); trivial. % 1.35/1.48 apply (zenon_L1201_); trivial. % 1.35/1.48 apply (zenon_L1167_); trivial. % 1.35/1.48 apply (zenon_L1205_); trivial. % 1.35/1.48 apply (zenon_L411_); trivial. % 1.35/1.48 (* end of lemma zenon_L1206_ *) % 1.35/1.48 assert (zenon_L1207_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H162 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H43 zenon_H20b zenon_H20a zenon_H209 zenon_H59 zenon_H18d zenon_H111. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1136_); trivial. % 1.35/1.48 apply (zenon_L168_); trivial. % 1.35/1.48 (* end of lemma zenon_L1207_ *) % 1.35/1.48 assert (zenon_L1208_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1ce zenon_H165 zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H111 zenon_H1b9 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.48 apply (zenon_L1093_); trivial. % 1.35/1.48 apply (zenon_L1207_); trivial. % 1.35/1.48 (* end of lemma zenon_L1208_ *) % 1.35/1.48 assert (zenon_L1209_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5b zenon_H5e zenon_H62. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1139_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L240_); trivial. % 1.35/1.48 apply (zenon_L1208_); trivial. % 1.35/1.48 apply (zenon_L25_); trivial. % 1.35/1.48 apply (zenon_L28_); trivial. % 1.35/1.48 (* end of lemma zenon_L1209_ *) % 1.35/1.48 assert (zenon_L1210_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H62 zenon_H21c zenon_H20b zenon_H20a zenon_H209 zenon_H1cd zenon_H111 zenon_H59 zenon_H18d zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1094_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1139_); trivial. % 1.35/1.48 apply (zenon_L1096_); trivial. % 1.35/1.48 (* end of lemma zenon_L1210_ *) % 1.35/1.48 assert (zenon_L1211_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H96 zenon_H4e zenon_H247 zenon_H7c zenon_H7e zenon_H158 zenon_H154 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H147 zenon_H139 zenon_H21c zenon_H62 zenon_H5e zenon_H1cd zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H111 zenon_H18d zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H165 zenon_H15 zenon_H217 zenon_H1d9 zenon_H13e zenon_H6e zenon_H97. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1209_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_L1210_); trivial. % 1.35/1.48 apply (zenon_L483_); trivial. % 1.35/1.48 (* end of lemma zenon_L1211_ *) % 1.35/1.48 assert (zenon_L1212_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H8d zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H139 zenon_H147 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H154 zenon_H158 zenon_H7e zenon_H247 zenon_H4e zenon_H96. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_L1211_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1209_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_L1210_); trivial. % 1.35/1.48 apply (zenon_L1185_); trivial. % 1.35/1.48 (* end of lemma zenon_L1212_ *) % 1.35/1.48 assert (zenon_L1213_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H111 zenon_H1b9 zenon_H18d zenon_H1ae zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e zenon_H50 zenon_H51 zenon_H52 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.48 apply (zenon_L40_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1143_); trivial. % 1.35/1.48 apply (zenon_L241_); trivial. % 1.35/1.48 apply (zenon_L214_); trivial. % 1.35/1.48 (* end of lemma zenon_L1213_ *) % 1.35/1.48 assert (zenon_L1214_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H92 zenon_H98 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_Ha3 zenon_H8d zenon_H1cb zenon_H105 zenon_H1ae zenon_H97 zenon_H6e zenon_H13e zenon_H1d9 zenon_H217 zenon_H15 zenon_H165 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H107 zenon_H20b zenon_H20a zenon_H209 zenon_H18d zenon_H111 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_H1cd zenon_H5e zenon_H62 zenon_H21c zenon_H139 zenon_H147 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H154 zenon_H158 zenon_H7e zenon_H247 zenon_H4e zenon_H96. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_L1211_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1145_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1092_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L240_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.48 apply (zenon_L12_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.48 apply (zenon_L1144_); trivial. % 1.35/1.48 apply (zenon_L214_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L303_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L240_); trivial. % 1.35/1.48 apply (zenon_L1213_); trivial. % 1.35/1.48 apply (zenon_L1185_); trivial. % 1.35/1.48 (* end of lemma zenon_L1214_ *) % 1.35/1.48 assert (zenon_L1215_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.48 apply (zenon_L1158_); trivial. % 1.35/1.48 apply (zenon_L382_); trivial. % 1.35/1.48 (* end of lemma zenon_L1215_ *) % 1.35/1.48 assert (zenon_L1216_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1cd zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H10e zenon_H1e0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111 zenon_H25 zenon_H1d9 zenon_H1ca. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1215_); trivial. % 1.35/1.48 apply (zenon_L168_); trivial. % 1.35/1.48 apply (zenon_L1192_); trivial. % 1.35/1.48 (* end of lemma zenon_L1216_ *) % 1.35/1.48 assert (zenon_L1217_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> (ndr1_0) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H96 zenon_H4e zenon_H247 zenon_H7e zenon_H21c zenon_H62 zenon_H5e zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1e0 zenon_H10e zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1cd zenon_Hb7 zenon_H1 zenon_Haf zenon_H154 zenon_H97. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1216_); trivial. % 1.35/1.48 apply (zenon_L25_); trivial. % 1.35/1.48 apply (zenon_L1163_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1216_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1215_); trivial. % 1.35/1.48 apply (zenon_L1165_); trivial. % 1.35/1.48 apply (zenon_L1201_); trivial. % 1.35/1.48 apply (zenon_L1167_); trivial. % 1.35/1.48 (* end of lemma zenon_L1217_ *) % 1.35/1.48 assert (zenon_L1218_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H189 zenon_H187 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.48 apply (zenon_L1170_); trivial. % 1.35/1.48 apply (zenon_L382_); trivial. % 1.35/1.48 apply (zenon_L168_); trivial. % 1.35/1.48 (* end of lemma zenon_L1218_ *) % 1.35/1.48 assert (zenon_L1219_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H62 zenon_H1ae zenon_H1cd zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H13e. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_L1218_); trivial. % 1.35/1.48 apply (zenon_L1138_); trivial. % 1.35/1.48 apply (zenon_L1199_); trivial. % 1.35/1.48 apply (zenon_L410_); trivial. % 1.35/1.48 (* end of lemma zenon_L1219_ *) % 1.35/1.48 assert (zenon_L1220_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H178 zenon_H7 zenon_H5 zenon_H96 zenon_H4e zenon_H247 zenon_H7e zenon_H21c zenon_H62 zenon_H5e zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1cd zenon_Hb7 zenon_Haf zenon_H154 zenon_H97 zenon_H1cb zenon_H27 zenon_H158 zenon_H126 zenon_H255 zenon_H13a zenon_H13e zenon_H105 zenon_H1ed zenon_H8d zenon_H201 zenon_H1c6 zenon_H1b9 zenon_H165 zenon_H1ae zenon_H147 zenon_H139 zenon_H98 zenon_H95. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.48 apply (zenon_L4_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_L1217_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_L1219_); trivial. % 1.35/1.48 apply (zenon_L1198_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_L1219_); trivial. % 1.35/1.48 apply (zenon_L1114_); trivial. % 1.35/1.48 apply (zenon_L411_); trivial. % 1.35/1.48 (* end of lemma zenon_L1220_ *) % 1.35/1.48 assert (zenon_L1221_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H62 zenon_H209 zenon_H20a zenon_H20b zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H59 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H73 zenon_H74 zenon_H75 zenon_H107 zenon_H165 zenon_H15 zenon_H217 zenon_H7e zenon_H7c zenon_H1d9 zenon_H13e. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1133_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.48 apply (zenon_L1078_); trivial. % 1.35/1.48 apply (zenon_L537_); trivial. % 1.35/1.48 (* end of lemma zenon_L1221_ *) % 1.35/1.48 assert (zenon_L1222_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.48 apply (zenon_L1131_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_L1221_); trivial. % 1.35/1.48 apply (zenon_L271_); trivial. % 1.35/1.48 apply (zenon_L1080_); trivial. % 1.35/1.48 (* end of lemma zenon_L1222_ *) % 1.35/1.48 assert (zenon_L1223_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp30)) -> (ndr1_0) -> (~(c3_1 (a2484))) -> (c0_1 (a2484)) -> (c1_1 (a2484)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp23)) -> False). % 1.35/1.48 do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H115 zenon_Ha zenon_Hba zenon_Hbb zenon_Hbc zenon_H190 zenon_H191 zenon_H19d zenon_H123. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.48 apply (zenon_L1140_); trivial. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.48 apply (zenon_L133_); trivial. % 1.35/1.48 exact (zenon_H123 zenon_H124). % 1.35/1.48 (* end of lemma zenon_L1223_ *) % 1.35/1.48 assert (zenon_L1224_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.48 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H18d zenon_H59 zenon_Hf1 zenon_He2 zenon_He1 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.48 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.48 apply (zenon_L1223_); trivial. % 1.35/1.48 apply (zenon_L129_); trivial. % 1.35/1.48 (* end of lemma zenon_L1224_ *) % 1.35/1.48 assert (zenon_L1225_ : ((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp19)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H10d zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H35 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.48 apply (zenon_L130_); trivial. % 1.35/1.48 apply (zenon_L1224_); trivial. % 1.35/1.48 apply (zenon_L126_); trivial. % 1.35/1.48 (* end of lemma zenon_L1225_ *) % 1.35/1.48 assert (zenon_L1226_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.48 apply (zenon_L192_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.35/1.48 apply (zenon_L556_); trivial. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.35/1.48 apply (zenon_L1086_); trivial. % 1.35/1.48 exact (zenon_Hed zenon_Hee). % 1.35/1.48 apply (zenon_L177_); trivial. % 1.35/1.48 apply (zenon_L126_); trivial. % 1.35/1.48 apply (zenon_L1225_); trivial. % 1.35/1.48 apply (zenon_L167_); trivial. % 1.35/1.48 (* end of lemma zenon_L1226_ *) % 1.35/1.48 assert (zenon_L1227_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H1ca. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.48 apply (zenon_L1226_); trivial. % 1.35/1.48 apply (zenon_L1165_); trivial. % 1.35/1.48 apply (zenon_L214_); trivial. % 1.35/1.48 (* end of lemma zenon_L1227_ *) % 1.35/1.48 assert (zenon_L1228_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H247 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1a1 zenon_H7c zenon_H1e8 zenon_H191 zenon_H190 zenon_H43 zenon_H107 zenon_H117 zenon_H18d zenon_H12a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H1e0 zenon_H10e zenon_H13f zenon_H141 zenon_H4b zenon_H4e zenon_H165 zenon_H1b9 zenon_H13a zenon_H189 zenon_H1ed zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H21c zenon_H201 zenon_H1cb zenon_H7e zenon_H1cd zenon_H62. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.48 apply (zenon_L1160_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.48 apply (zenon_L31_); trivial. % 1.35/1.48 apply (zenon_L1227_); trivial. % 1.35/1.48 apply (zenon_L1095_); trivial. % 1.35/1.48 apply (zenon_L1167_); trivial. % 1.35/1.48 (* end of lemma zenon_L1228_ *) % 1.35/1.48 assert (zenon_L1229_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.35/1.48 do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_Hd7 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H123 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.35/1.48 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.48 apply (zenon_L192_); trivial. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.48 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.35/1.49 apply (zenon_L547_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.35/1.49 apply (zenon_L1086_); trivial. % 1.35/1.49 exact (zenon_Hed zenon_Hee). % 1.35/1.49 apply (zenon_L177_); trivial. % 1.35/1.49 (* end of lemma zenon_L1229_ *) % 1.35/1.49 assert (zenon_L1230_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H4b zenon_H1b9 zenon_H145 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.49 apply (zenon_L1229_); trivial. % 1.35/1.49 apply (zenon_L126_); trivial. % 1.35/1.49 apply (zenon_L1225_); trivial. % 1.35/1.49 apply (zenon_L167_); trivial. % 1.35/1.49 (* end of lemma zenon_L1230_ *) % 1.35/1.49 assert (zenon_L1231_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H50 zenon_H51 zenon_H52 zenon_H107 zenon_H43 zenon_H7c zenon_H1a1 zenon_H3 zenon_H46 zenon_H1ca. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_L1230_); trivial. % 1.35/1.49 apply (zenon_L1178_); trivial. % 1.35/1.49 apply (zenon_L232_); trivial. % 1.35/1.49 (* end of lemma zenon_L1231_ *) % 1.35/1.49 assert (zenon_L1232_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (ndr1_0) -> (c0_1 (a2450)) -> (c1_1 (a2450)) -> (c3_1 (a2450)) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1cb zenon_H2c3 zenon_H72 zenon_H2c1 zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1cc ]. % 1.35/1.49 apply (zenon_L1073_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H29 | zenon_intro zenon_H119 ]. % 1.35/1.49 apply (zenon_L13_); trivial. % 1.35/1.49 apply (zenon_L76_); trivial. % 1.35/1.49 (* end of lemma zenon_L1232_ *) % 1.35/1.49 assert (zenon_L1233_ : ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6)))))) -> (~(hskp20)) -> False). % 1.35/1.49 do 0 intro. intros zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Ha zenon_H199 zenon_Hd7. % 1.35/1.49 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 1.35/1.49 generalize (zenon_H199 (a2484)). zenon_intro zenon_H2d2. % 1.35/1.49 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d3 ]. % 1.35/1.49 exact (zenon_H9 zenon_Ha). % 1.35/1.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H179 | zenon_intro zenon_H2d4 ]. % 1.35/1.49 apply (zenon_L120_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 1.35/1.49 exact (zenon_Hba zenon_Hc0). % 1.35/1.49 exact (zenon_Hc1 zenon_Hbc). % 1.35/1.49 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd8 ]. % 1.35/1.49 generalize (zenon_H199 (a2484)). zenon_intro zenon_H2d2. % 1.35/1.49 apply (zenon_imply_s _ _ zenon_H2d2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d3 ]. % 1.35/1.49 exact (zenon_H9 zenon_Ha). % 1.35/1.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H179 | zenon_intro zenon_H2d4 ]. % 1.35/1.49 apply (zenon_L121_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ]. % 1.35/1.49 exact (zenon_Hba zenon_Hc0). % 1.35/1.49 exact (zenon_Hc1 zenon_Hbc). % 1.35/1.49 exact (zenon_Hd7 zenon_Hd8). % 1.35/1.49 (* end of lemma zenon_L1233_ *) % 1.35/1.49 assert (zenon_L1234_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp23)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c3_1 (a2484))) -> (c1_1 (a2484)) -> (c0_1 (a2484)) -> (~(hskp20)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp1)) -> False). % 1.35/1.49 do 0 intro. intros zenon_H125 zenon_H107 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H123 zenon_Hd9 zenon_Hba zenon_Hbc zenon_Hbb zenon_Hd7 zenon_H2c1 zenon_H2c3 zenon_H19f zenon_H43. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.35/1.49 apply (zenon_L1232_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.49 apply (zenon_L1073_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.49 apply (zenon_L1233_); trivial. % 1.35/1.49 exact (zenon_H123 zenon_H124). % 1.35/1.49 exact (zenon_H43 zenon_H44). % 1.35/1.49 (* end of lemma zenon_L1234_ *) % 1.35/1.49 assert (zenon_L1235_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.35/1.49 do 0 intro. intros zenon_Hca zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H123 zenon_H19f zenon_H1 zenon_H5b zenon_Hb7. % 1.35/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.49 apply (zenon_L48_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.49 apply (zenon_L1223_); trivial. % 1.35/1.49 apply (zenon_L1234_); trivial. % 1.35/1.49 (* end of lemma zenon_L1235_ *) % 1.35/1.49 assert (zenon_L1236_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> False). % 1.35/1.49 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.49 apply (zenon_L140_); trivial. % 1.35/1.49 apply (zenon_L1234_); trivial. % 1.35/1.49 (* end of lemma zenon_L1236_ *) % 1.35/1.49 assert (zenon_L1237_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c1_1 (a2404))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (ndr1_0) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H4e zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H13a zenon_H189 zenon_H187 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H28c zenon_H28b zenon_H28a zenon_H19f zenon_H21c zenon_H1e0 zenon_H10e zenon_H201 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_Ha zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L31_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_L1230_); trivial. % 1.35/1.49 apply (zenon_L168_); trivial. % 1.35/1.49 apply (zenon_L214_); trivial. % 1.35/1.49 (* end of lemma zenon_L1237_ *) % 1.35/1.49 assert (zenon_L1238_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H59 zenon_H18d zenon_H201 zenon_H10e zenon_H1e0 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H1ae zenon_H1cb zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2c zenon_H2b zenon_H2a zenon_H43 zenon_H107 zenon_H145 zenon_H1b9 zenon_H13a zenon_H4b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.49 apply (zenon_L1229_); trivial. % 1.35/1.49 apply (zenon_L1076_); trivial. % 1.35/1.49 apply (zenon_L147_); trivial. % 1.35/1.49 apply (zenon_L148_); trivial. % 1.35/1.49 apply (zenon_L168_); trivial. % 1.35/1.49 (* end of lemma zenon_L1238_ *) % 1.35/1.49 assert (zenon_L1239_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2404))) -> (~(c3_1 (a2404))) -> (~(c2_1 (a2404))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H1ca zenon_H46 zenon_H3 zenon_H1a1 zenon_H7c zenon_H43 zenon_H107 zenon_H111 zenon_H12a zenon_H18d zenon_H117 zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H201 zenon_H10e zenon_H1e0 zenon_H21c zenon_H73 zenon_H74 zenon_H75 zenon_H19f zenon_H28a zenon_H28b zenon_H28c zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H189 zenon_H13a zenon_H1b9 zenon_H4b zenon_H165 zenon_H4e. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L40_); trivial. % 1.35/1.49 apply (zenon_L1231_); trivial. % 1.35/1.49 apply (zenon_L535_); trivial. % 1.35/1.49 (* end of lemma zenon_L1239_ *) % 1.35/1.49 assert (zenon_L1240_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H201 zenon_H10e zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.49 apply (zenon_L192_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.49 apply (zenon_L1104_); trivial. % 1.35/1.49 apply (zenon_L1141_); trivial. % 1.35/1.49 (* end of lemma zenon_L1240_ *) % 1.35/1.49 assert (zenon_L1241_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H4e zenon_H165 zenon_H1b9 zenon_H187 zenon_H189 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L1123_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_L1240_); trivial. % 1.35/1.49 apply (zenon_L167_); trivial. % 1.35/1.49 apply (zenon_L168_); trivial. % 1.35/1.49 apply (zenon_L232_); trivial. % 1.35/1.49 (* end of lemma zenon_L1241_ *) % 1.35/1.49 assert (zenon_L1242_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2420)) -> (c1_1 (a2420)) -> (~(c3_1 (a2420))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H86 zenon_H85 zenon_H84 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_Hcd zenon_Hcc zenon_Hda zenon_H43 zenon_H107 zenon_H25 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L1123_); trivial. % 1.35/1.49 apply (zenon_L268_); trivial. % 1.35/1.49 (* end of lemma zenon_L1242_ *) % 1.35/1.49 assert (zenon_L1243_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H247 zenon_H19d zenon_H165 zenon_H1b9 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H1c6 zenon_Ha3 zenon_H18d zenon_H1ae zenon_H1cd zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H46 zenon_H3 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L52_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L1123_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_L1240_); trivial. % 1.35/1.49 apply (zenon_L19_); trivial. % 1.35/1.49 apply (zenon_L35_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L1078_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_L1241_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L1123_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_L1240_); trivial. % 1.35/1.49 apply (zenon_L148_); trivial. % 1.35/1.49 apply (zenon_L168_); trivial. % 1.35/1.49 apply (zenon_L293_); trivial. % 1.35/1.49 apply (zenon_L35_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L83_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_L1241_); trivial. % 1.35/1.49 apply (zenon_L1242_); trivial. % 1.35/1.49 apply (zenon_L35_); trivial. % 1.35/1.49 (* end of lemma zenon_L1243_ *) % 1.35/1.49 assert (zenon_L1244_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H139 zenon_H147 zenon_H154 zenon_H158 zenon_H1cd zenon_H1c6 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H1b9 zenon_H18d zenon_H165 zenon_Ha3 zenon_H13e zenon_H4e zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H4b zenon_H141 zenon_H13f zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H105 zenon_H43 zenon_H107 zenon_H27 zenon_H111 zenon_H1d9 zenon_H1ca zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L52_); trivial. % 1.35/1.49 apply (zenon_L1173_); trivial. % 1.35/1.49 apply (zenon_L115_); trivial. % 1.35/1.49 apply (zenon_L1148_); trivial. % 1.35/1.49 (* end of lemma zenon_L1244_ *) % 1.35/1.49 assert (zenon_L1245_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H92 zenon_H98 zenon_H4b zenon_H141 zenon_H13f zenon_H8d zenon_H97 zenon_H16f zenon_H2cd zenon_H2ab zenon_H154 zenon_H10e zenon_Haf zenon_H7e zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H4e zenon_H165 zenon_H107 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H1b9 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H5e zenon_H62 zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H21c zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H247 zenon_H96. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_L1180_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_L236_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L40_); trivial. % 1.35/1.49 apply (zenon_L1181_); trivial. % 1.35/1.49 apply (zenon_L1167_); trivial. % 1.35/1.49 apply (zenon_L347_); trivial. % 1.35/1.49 (* end of lemma zenon_L1245_ *) % 1.35/1.49 assert (zenon_L1246_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L12_); trivial. % 1.35/1.49 apply (zenon_L268_); trivial. % 1.35/1.49 (* end of lemma zenon_L1246_ *) % 1.35/1.49 assert (zenon_L1247_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H112 zenon_H1cd zenon_H4e zenon_H247 zenon_H73 zenon_H74 zenon_H75 zenon_H65 zenon_H64 zenon_H66 zenon_H43 zenon_H107 zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27 zenon_H217 zenon_H15 zenon_H189 zenon_H13a. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_L240_); trivial. % 1.35/1.49 apply (zenon_L1246_); trivial. % 1.35/1.49 (* end of lemma zenon_L1247_ *) % 1.35/1.49 assert (zenon_L1248_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H80 zenon_H97 zenon_H62 zenon_H247 zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H1cd zenon_H4e zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_Ha3 zenon_H1ca zenon_H1c6 zenon_H43 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H1b9 zenon_H4b zenon_H107 zenon_H165 zenon_H237 zenon_H8d zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H15 zenon_H217 zenon_H46 zenon_H13e. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_L1079_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_L281_); trivial. % 1.35/1.49 apply (zenon_L1246_); trivial. % 1.35/1.49 apply (zenon_L1247_); trivial. % 1.35/1.49 apply (zenon_L35_); trivial. % 1.35/1.49 (* end of lemma zenon_L1248_ *) % 1.35/1.49 assert (zenon_L1249_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H8f zenon_H96 zenon_H247 zenon_Ha3 zenon_H62 zenon_H5e zenon_H1cd zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H1b9 zenon_H107 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H111 zenon_H1c6 zenon_H1ca zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H13a zenon_H189 zenon_H12a zenon_H126 zenon_H117 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H237 zenon_H8d zenon_H105 zenon_H23a zenon_H15 zenon_H217 zenon_H13e zenon_H6e zenon_H97. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L1151_); trivial. % 1.35/1.49 apply (zenon_L275_); trivial. % 1.35/1.49 apply (zenon_L25_); trivial. % 1.35/1.49 apply (zenon_L28_); trivial. % 1.35/1.49 apply (zenon_L1248_); trivial. % 1.35/1.49 (* end of lemma zenon_L1249_ *) % 1.35/1.49 assert (zenon_L1250_ : ((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.35/1.49 do 0 intro. intros zenon_Hc5 zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc7. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hc8. % 1.35/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbc. zenon_intro zenon_Hba. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.49 apply (zenon_L350_); trivial. % 1.35/1.49 apply (zenon_L1234_); trivial. % 1.35/1.49 (* end of lemma zenon_L1250_ *) % 1.35/1.49 assert (zenon_L1251_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp23)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp8)) -> (~(hskp11)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> False). % 1.35/1.49 do 0 intro. intros zenon_Hca zenon_H12a zenon_H107 zenon_H43 zenon_Hd9 zenon_Hd7 zenon_H123 zenon_H19f zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255 zenon_H1 zenon_H5b zenon_Hb7. % 1.35/1.49 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.49 apply (zenon_L48_); trivial. % 1.35/1.49 apply (zenon_L1250_); trivial. % 1.35/1.49 (* end of lemma zenon_L1251_ *) % 1.35/1.49 assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H4a zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H187 zenon_H189 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H8d zenon_H10e. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_L1142_); trivial. % 1.35/1.49 apply (zenon_L382_); trivial. % 1.35/1.49 (* end of lemma zenon_L1252_ *) % 1.35/1.49 assert (zenon_L1253_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2420))) -> (c1_1 (a2420)) -> (c2_1 (a2420)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H84 zenon_H85 zenon_H86 zenon_Hda zenon_Hcc zenon_Hcd zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H1cb zenon_H35 zenon_H8d zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.49 apply (zenon_L1087_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H4f | zenon_intro zenon_H8e ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H72 | zenon_intro zenon_H108 ]. % 1.35/1.49 apply (zenon_L1074_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H44 ]. % 1.35/1.49 apply (zenon_L67_); trivial. % 1.35/1.49 exact (zenon_H43 zenon_H44). % 1.35/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H83 | zenon_intro zenon_H36 ]. % 1.35/1.49 apply (zenon_L33_); trivial. % 1.35/1.49 exact (zenon_H35 zenon_H36). % 1.35/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.35/1.49 apply (zenon_L349_); trivial. % 1.35/1.49 apply (zenon_L191_); trivial. % 1.35/1.49 (* end of lemma zenon_L1253_ *) % 1.35/1.49 assert (zenon_L1254_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> (~(hskp8)) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H92 zenon_H98 zenon_H158 zenon_H255 zenon_H147 zenon_H139 zenon_H165 zenon_H1ae zenon_H1cb zenon_Ha3 zenon_H13a zenon_H126 zenon_H13e zenon_H105 zenon_H8d zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_H97 zenon_H154 zenon_Haf zenon_H1 zenon_Hb7 zenon_H1cd zenon_H4b zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H10e zenon_H1e0 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H12a zenon_H18d zenon_H117 zenon_H107 zenon_H43 zenon_H190 zenon_H191 zenon_H1e8 zenon_H1a1 zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_Hca zenon_H111 zenon_H1d9 zenon_H1ca zenon_H5e zenon_H62 zenon_H21c zenon_H7e zenon_H247 zenon_H4e zenon_H96. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.49 apply (zenon_L1217_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_L1202_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L1204_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L40_); trivial. % 1.35/1.49 apply (zenon_L1252_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L40_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_L1253_); trivial. % 1.35/1.49 apply (zenon_L409_); trivial. % 1.35/1.49 apply (zenon_L1185_); trivial. % 1.35/1.49 (* end of lemma zenon_L1254_ *) % 1.35/1.49 assert (zenon_L1255_ : ((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1fd zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H35 zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.35/1.49 apply (zenon_L435_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.35/1.49 apply (zenon_L1086_); trivial. % 1.35/1.49 exact (zenon_Hed zenon_Hee). % 1.35/1.49 apply (zenon_L177_); trivial. % 1.35/1.49 (* end of lemma zenon_L1255_ *) % 1.35/1.49 assert (zenon_L1256_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(hskp18)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp20)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H201 zenon_H10e zenon_H1e0 zenon_H1b7 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd7 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_Ha zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.49 apply (zenon_L192_); trivial. % 1.35/1.49 apply (zenon_L1255_); trivial. % 1.35/1.49 (* end of lemma zenon_L1256_ *) % 1.35/1.49 assert (zenon_L1257_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H13b zenon_H201 zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_Hf1 zenon_He2 zenon_He1 zenon_H23 zenon_H25 zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H190 zenon_H1e8 zenon_H191 zenon_H35 zenon_H1ed. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.49 apply (zenon_L192_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_Hb | zenon_intro zenon_H142 ]. % 1.35/1.49 apply (zenon_L194_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H39 | zenon_intro zenon_H140 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 1.35/1.49 apply (zenon_L162_); trivial. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 1.35/1.49 exact (zenon_H23 zenon_H24). % 1.35/1.49 exact (zenon_H25 zenon_H26). % 1.35/1.49 exact (zenon_H13f zenon_H140). % 1.35/1.49 (* end of lemma zenon_L1257_ *) % 1.35/1.49 assert (zenon_L1258_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H111 zenon_H13a zenon_H141 zenon_H13f zenon_H107 zenon_H43 zenon_H23 zenon_H25 zenon_H27 zenon_H84 zenon_H85 zenon_H86 zenon_H12a zenon_H126 zenon_Hc3 zenon_H117 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hc zenon_Hd zenon_He zenon_H4b. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.49 apply (zenon_L1256_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.49 apply (zenon_L141_); trivial. % 1.35/1.49 apply (zenon_L1257_); trivial. % 1.35/1.49 apply (zenon_L86_); trivial. % 1.35/1.49 apply (zenon_L168_); trivial. % 1.35/1.49 (* end of lemma zenon_L1258_ *) % 1.35/1.49 assert (zenon_L1259_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H33 zenon_H37 zenon_H4b zenon_He zenon_Hd zenon_Hc zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H19d zenon_H117 zenon_Hc3 zenon_H126 zenon_H12a zenon_H86 zenon_H85 zenon_H84 zenon_H27 zenon_H25 zenon_H43 zenon_H107 zenon_H13f zenon_H141 zenon_H13a zenon_H111 zenon_H1d9 zenon_H1ca. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.49 apply (zenon_L1258_); trivial. % 1.35/1.49 apply (zenon_L87_); trivial. % 1.35/1.49 (* end of lemma zenon_L1259_ *) % 1.35/1.49 assert (zenon_L1260_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H5d zenon_H13e zenon_H209 zenon_H20a zenon_H20b zenon_H19d zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H7c zenon_H7e zenon_H217 zenon_H15 zenon_H165 zenon_H107 zenon_H75 zenon_H74 zenon_H73 zenon_H4b zenon_H1b9 zenon_Hca zenon_Hc6 zenon_H9c zenon_H9b zenon_H9a zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H43 zenon_H1c6 zenon_H1ca zenon_Ha3 zenon_H59 zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H4e zenon_H1cd. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.49 apply (zenon_L1078_); trivial. % 1.35/1.49 apply (zenon_L448_); trivial. % 1.35/1.49 (* end of lemma zenon_L1260_ *) % 1.35/1.49 assert (zenon_L1261_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H98 zenon_H139 zenon_H237 zenon_H105 zenon_H23a zenon_H97 zenon_H6e zenon_H13e zenon_H1cd zenon_H4e zenon_H165 zenon_H4b zenon_H209 zenon_H20a zenon_H20b zenon_H12a zenon_H117 zenon_H19d zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H43 zenon_H107 zenon_H1b9 zenon_H1d9 zenon_H1ca zenon_Ha3 zenon_H217 zenon_H15 zenon_H189 zenon_H13a zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H5e zenon_H62 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H21c zenon_H1c6 zenon_H126 zenon_H7e zenon_H247 zenon_H3 zenon_H46 zenon_H96. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.49 apply (zenon_L1131_); trivial. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.49 apply (zenon_L1133_); trivial. % 1.35/1.49 apply (zenon_L1260_); trivial. % 1.35/1.49 apply (zenon_L271_); trivial. % 1.35/1.49 apply (zenon_L1080_); trivial. % 1.35/1.49 (* end of lemma zenon_L1261_ *) % 1.35/1.49 assert (zenon_L1262_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (~(hskp19)) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp18)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> False). % 1.35/1.49 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H35 zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1b7 zenon_H1e0 zenon_H10e zenon_H201. % 1.35/1.49 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.49 apply (zenon_L1256_); trivial. % 1.35/1.49 apply (zenon_L1225_); trivial. % 1.35/1.49 (* end of lemma zenon_L1262_ *) % 1.35/1.49 assert (zenon_L1263_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H145 zenon_H1b9 zenon_H4b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_L1262_); trivial. % 1.35/1.50 apply (zenon_L167_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 (* end of lemma zenon_L1263_ *) % 1.35/1.50 assert (zenon_L1264_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4a zenon_H165 zenon_Hc zenon_Hd zenon_He zenon_H107 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.50 apply (zenon_L1263_); trivial. % 1.35/1.50 apply (zenon_L1207_); trivial. % 1.35/1.50 (* end of lemma zenon_L1264_ *) % 1.35/1.50 assert (zenon_L1265_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1cd zenon_H7e zenon_H7c zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H4e. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L31_); trivial. % 1.35/1.50 apply (zenon_L1264_); trivial. % 1.35/1.50 apply (zenon_L1208_); trivial. % 1.35/1.50 (* end of lemma zenon_L1265_ *) % 1.35/1.50 assert (zenon_L1266_ : ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (ndr1_0) -> (~(c0_1 (a2418))) -> (c1_1 (a2418)) -> (c2_1 (a2418)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_Ha zenon_H50 zenon_H51 zenon_H52 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H35 zenon_H8d. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L445_); trivial. % 1.35/1.50 apply (zenon_L1225_); trivial. % 1.35/1.50 (* end of lemma zenon_L1266_ *) % 1.35/1.50 assert (zenon_L1267_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2410)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4a zenon_H165 zenon_H4b zenon_H1b9 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H16f zenon_H2cd zenon_He zenon_Hd zenon_Hc zenon_H107 zenon_H43 zenon_H1e8 zenon_H7c zenon_H1a1 zenon_H75 zenon_H74 zenon_H73 zenon_H21c zenon_H10e zenon_H1ca. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_L1266_); trivial. % 1.35/1.50 apply (zenon_L167_); trivial. % 1.35/1.50 apply (zenon_L1165_); trivial. % 1.35/1.50 apply (zenon_L232_); trivial. % 1.35/1.50 (* end of lemma zenon_L1267_ *) % 1.35/1.50 assert (zenon_L1268_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H247 zenon_H1cd zenon_H7e zenon_H7c zenon_H1ca zenon_H1d9 zenon_H43 zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1b9 zenon_H4b zenon_H107 zenon_He zenon_Hd zenon_Hc zenon_H165 zenon_H4e zenon_H1a1 zenon_H21c zenon_H62. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L1265_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L31_); trivial. % 1.35/1.50 apply (zenon_L1267_); trivial. % 1.35/1.50 apply (zenon_L1095_); trivial. % 1.35/1.50 apply (zenon_L1167_); trivial. % 1.35/1.50 (* end of lemma zenon_L1268_ *) % 1.35/1.50 assert (zenon_L1269_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4a zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_L1266_); trivial. % 1.35/1.50 apply (zenon_L19_); trivial. % 1.35/1.50 (* end of lemma zenon_L1269_ *) % 1.35/1.50 assert (zenon_L1270_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4a zenon_H165 zenon_H107 zenon_H4b zenon_H1b9 zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H19d zenon_H19f zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.50 apply (zenon_L1263_); trivial. % 1.35/1.50 apply (zenon_L232_); trivial. % 1.35/1.50 (* end of lemma zenon_L1270_ *) % 1.35/1.50 assert (zenon_L1271_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp13)) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H209 zenon_H20a zenon_H20b zenon_H107 zenon_H12a zenon_H1cb zenon_H117 zenon_H19d zenon_Hca zenon_H4b zenon_H1ae zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H18d zenon_H1b9 zenon_H111 zenon_H25 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1256_); trivial. % 1.35/1.50 apply (zenon_L147_); trivial. % 1.35/1.50 apply (zenon_L148_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 apply (zenon_L293_); trivial. % 1.35/1.50 (* end of lemma zenon_L1271_ *) % 1.35/1.50 assert (zenon_L1272_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4e zenon_H4b zenon_H46 zenon_H3 zenon_H43 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H52 zenon_H51 zenon_H50 zenon_Hca zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H19d zenon_H191 zenon_H190 zenon_H19f zenon_H117 zenon_H18d zenon_H12a zenon_H187 zenon_H189 zenon_H13a zenon_H111 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L1269_); trivial. % 1.35/1.50 (* end of lemma zenon_L1272_ *) % 1.35/1.50 assert (zenon_L1273_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2410))) -> (c1_1 (a2410)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H165 zenon_H107 zenon_H1ae zenon_H1b9 zenon_H21c zenon_H1ca zenon_H73 zenon_H74 zenon_H75 zenon_H7c zenon_H7e zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_H111 zenon_H13a zenon_H189 zenon_H12a zenon_H18d zenon_H117 zenon_H19f zenon_H190 zenon_H191 zenon_H19d zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H43 zenon_H3 zenon_H46 zenon_H4b zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L1272_); trivial. % 1.35/1.50 apply (zenon_L447_); trivial. % 1.35/1.50 (* end of lemma zenon_L1273_ *) % 1.35/1.50 assert (zenon_L1274_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H80 zenon_H97 zenon_H154 zenon_H1a1 zenon_H247 zenon_H107 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H10e zenon_H1e0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H18d zenon_H111 zenon_H7e zenon_H7c zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1ae zenon_H62. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L1193_); trivial. % 1.35/1.50 apply (zenon_L496_); trivial. % 1.35/1.50 apply (zenon_L1167_); trivial. % 1.35/1.50 (* end of lemma zenon_L1274_ *) % 1.35/1.50 assert (zenon_L1275_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (~(hskp7)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a2435)) -> (~(c2_1 (a2435))) -> (~(c0_1 (a2435))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H13b zenon_H270 zenon_H5 zenon_H274 zenon_H275 zenon_H276 zenon_H107 zenon_Hf1 zenon_He2 zenon_He1 zenon_H43 zenon_H2d5 zenon_H24e zenon_H24d zenon_H24c zenon_H190 zenon_H1e8 zenon_H191. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H19 | zenon_intro zenon_H271 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H39 | zenon_intro zenon_H2d6 ]. % 1.35/1.50 apply (zenon_L162_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hdc | zenon_intro zenon_H6 ]. % 1.35/1.50 apply (zenon_L423_); trivial. % 1.35/1.50 exact (zenon_H5 zenon_H6). % 1.35/1.50 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24b | zenon_intro zenon_H1e7 ]. % 1.35/1.50 apply (zenon_L349_); trivial. % 1.35/1.50 apply (zenon_L191_); trivial. % 1.35/1.50 (* end of lemma zenon_L1275_ *) % 1.35/1.50 assert (zenon_L1276_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H13a zenon_H107 zenon_H43 zenon_H274 zenon_H275 zenon_H276 zenon_H5 zenon_H2d5 zenon_H126 zenon_Hc3 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_Hca zenon_H4b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1106_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.50 apply (zenon_L484_); trivial. % 1.35/1.50 apply (zenon_L1275_); trivial. % 1.35/1.50 apply (zenon_L389_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 (* end of lemma zenon_L1276_ *) % 1.35/1.50 assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ce zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H59 zenon_H18d zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1ae zenon_H4b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1256_); trivial. % 1.35/1.50 apply (zenon_L408_); trivial. % 1.35/1.50 apply (zenon_L409_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 (* end of lemma zenon_L1277_ *) % 1.35/1.50 assert (zenon_L1278_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H18d zenon_H1ed zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H1ae zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H37 zenon_H33 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H4b zenon_H4e. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L586_); trivial. % 1.35/1.50 apply (zenon_L1277_); trivial. % 1.35/1.50 (* end of lemma zenon_L1278_ *) % 1.35/1.50 assert (zenon_L1279_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H4e zenon_H4b zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H189 zenon_H33 zenon_H37 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3 zenon_H1ae zenon_H201 zenon_H10e zenon_H1e0 zenon_H8d zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H1ed zenon_H18d zenon_H111 zenon_H43 zenon_H1d9 zenon_H1ca zenon_H1cd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L1278_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 (* end of lemma zenon_L1279_ *) % 1.35/1.50 assert (zenon_L1280_ : ((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H112 zenon_H1ca zenon_H1d9 zenon_H25 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1106_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.50 apply (zenon_L192_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.50 apply (zenon_L1104_); trivial. % 1.35/1.50 apply (zenon_L583_); trivial. % 1.35/1.50 apply (zenon_L19_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 (* end of lemma zenon_L1280_ *) % 1.35/1.50 assert (zenon_L1281_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H8f zenon_H96 zenon_H97 zenon_H165 zenon_H158 zenon_H154 zenon_H255 zenon_H147 zenon_H139 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_Ha3 zenon_H1cb zenon_H1ae zenon_H18d zenon_H4e zenon_H1cd zenon_H13e zenon_H1ca zenon_H1d9 zenon_H111 zenon_H270 zenon_H24e zenon_H24d zenon_H24c zenon_H107 zenon_H43 zenon_H105 zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H3 zenon_H46 zenon_H4b zenon_Hb7 zenon_H1 zenon_H9a zenon_H9b zenon_H9c zenon_Hc6 zenon_Hca zenon_H62. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_L52_); trivial. % 1.35/1.50 apply (zenon_L1280_); trivial. % 1.35/1.50 apply (zenon_L405_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_L1204_); trivial. % 1.35/1.50 apply (zenon_L1280_); trivial. % 1.35/1.50 apply (zenon_L410_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_L582_); trivial. % 1.35/1.50 apply (zenon_L1280_); trivial. % 1.35/1.50 apply (zenon_L35_); trivial. % 1.35/1.50 (* end of lemma zenon_L1281_ *) % 1.35/1.50 assert (zenon_L1282_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H62 zenon_H1ca zenon_H1d9 zenon_H111 zenon_Hca zenon_H209 zenon_H20a zenon_H20b zenon_H105 zenon_H43 zenon_H107 zenon_Hc zenon_Hd zenon_He zenon_H117 zenon_H59 zenon_H18d zenon_H12a zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_Ha zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H189 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b zenon_H1ae zenon_H274 zenon_H275 zenon_H276 zenon_Hd9 zenon_H1cd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L1218_); trivial. % 1.35/1.50 apply (zenon_L1277_); trivial. % 1.35/1.50 apply (zenon_L410_); trivial. % 1.35/1.50 (* end of lemma zenon_L1282_ *) % 1.35/1.50 assert (zenon_L1283_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> (~(c3_1 (a2405))) -> (c0_1 (a2405)) -> (c2_1 (a2405)) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H1ca zenon_H1d9 zenon_H111 zenon_H274 zenon_H275 zenon_H276 zenon_H5 zenon_H2d5 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1e0 zenon_H10e zenon_H158 zenon_H201 zenon_H154 zenon_H84 zenon_H85 zenon_H86 zenon_H8d zenon_H107 zenon_H43 zenon_H190 zenon_H1e8 zenon_H191 zenon_H1ed zenon_H12a zenon_H126 zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H189 zenon_H13a zenon_Hb7 zenon_H5b zenon_H1 zenon_H105 zenon_H270 zenon_Hca zenon_H4b zenon_Hc zenon_Hd zenon_He zenon_H13e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L498_); trivial. % 1.35/1.50 apply (zenon_L1276_); trivial. % 1.35/1.50 apply (zenon_L1195_); trivial. % 1.35/1.50 apply (zenon_L405_); trivial. % 1.35/1.50 (* end of lemma zenon_L1283_ *) % 1.35/1.50 assert (zenon_L1284_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> (~(hskp1)) -> (~(hskp13)) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> (c2_1 (a2405)) -> (c0_1 (a2405)) -> (~(c3_1 (a2405))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4a zenon_H1ca zenon_H1d9 zenon_H43 zenon_H25 zenon_H111 zenon_H13a zenon_H189 zenon_H187 zenon_H12a zenon_H18d zenon_H59 zenon_H117 zenon_H19f zenon_H19d zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_Hca zenon_H1ed zenon_H191 zenon_H1e8 zenon_H190 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_Hd9 zenon_H276 zenon_H275 zenon_H274 zenon_H8d zenon_H1e0 zenon_H10e zenon_H201 zenon_H24c zenon_H24d zenon_H24e zenon_H270 zenon_H4b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_L1262_); trivial. % 1.35/1.50 apply (zenon_L382_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 (* end of lemma zenon_L1284_ *) % 1.35/1.50 assert (zenon_L1285_ : ((ndr1_0)/\((c0_1 (a2405))/\((c2_1 (a2405))/\(~(c3_1 (a2405)))))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a2407))/\((~(c1_1 (a2407)))/\(~(c2_1 (a2407))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp7))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2410))/\((c1_1 (a2410))/\(~(c2_1 (a2410))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a2478))/\((~(c0_1 (a2478)))/\(~(c3_1 (a2478))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c3_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X9 : zenon_U, ((ndr1_0)->((~(c0_1 X9))\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp19)\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/((hskp5)\/(hskp19))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp1)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2432))/\((c3_1 (a2432))/\(~(c0_1 (a2432))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((hskp6)\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(hskp19))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((hskp21)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp13)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82))))))\/((hskp20)\/(hskp18))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/(hskp4))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a2420))/\((c2_1 (a2420))/\(~(c3_1 (a2420))))))) -> ((forall X101 : zenon_U, ((ndr1_0)->((c3_1 X101)\/((~(c1_1 X101))\/(~(c2_1 X101))))))\/((hskp6)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a2484))/\((c1_1 (a2484))/\(~(c3_1 (a2484))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp14))) -> ((hskp30)\/((hskp26)\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/((hskp14)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((hskp26)\/((hskp8)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((hskp14)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp20))\/((ndr1_0)/\((c3_1 (a2435))/\((~(c0_1 (a2435)))/\(~(c2_1 (a2435))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c2_1 X39)\/(~(c3_1 X39))))))\/((forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((~(c1_1 X12))\/(~(c3_1 X12))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> ((~(hskp7))\/((ndr1_0)/\((c2_1 (a2411))/\((~(c1_1 (a2411)))/\(~(c3_1 (a2411))))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a2408))/\((c3_1 (a2408))/\(~(c2_1 (a2408))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H2d7 zenon_H2d8 zenon_H255 zenon_H257 zenon_H267 zenon_H270 zenon_H2d5 zenon_H285 zenon_H1a3 zenon_H19d zenon_H1db zenon_H1a1 zenon_H201 zenon_Hd9 zenon_H1ed zenon_H2ab zenon_H19f zenon_H178 zenon_H96 zenon_H7e zenon_H62 zenon_H5e zenon_H27 zenon_H37 zenon_H43 zenon_H46 zenon_H4b zenon_H4e zenon_H6e zenon_H97 zenon_H8d zenon_H98 zenon_H7 zenon_H17 zenon_H95 zenon_H147 zenon_H154 zenon_H158 zenon_H1d9 zenon_H10e zenon_H1e0 zenon_H2cd zenon_H16f zenon_H21c zenon_H141 zenon_Haf zenon_H13e zenon_H217 zenon_Hca zenon_Hc6 zenon_H117 zenon_H126 zenon_H12a zenon_H189 zenon_H13a zenon_H107 zenon_H247 zenon_H1cd zenon_Ha3 zenon_H23a zenon_H105 zenon_H237 zenon_Hb7 zenon_H165 zenon_H1b9 zenon_H1c6 zenon_H1ca zenon_H111 zenon_H18d zenon_H1ae zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H139 zenon_H286 zenon_H2d9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.50 apply (zenon_L1101_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1256_); trivial. % 1.35/1.50 apply (zenon_L1103_); trivial. % 1.35/1.50 apply (zenon_L86_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 apply (zenon_L87_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_L1163_); trivial. % 1.35/1.50 apply (zenon_L114_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1256_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Ha. zenon_intro zenon_H10f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Hf1. zenon_intro zenon_H110. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He1. zenon_intro zenon_He2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.50 apply (zenon_L192_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.50 apply (zenon_L79_); trivial. % 1.35/1.50 apply (zenon_L1107_); trivial. % 1.35/1.50 apply (zenon_L126_); trivial. % 1.35/1.50 apply (zenon_L86_); trivial. % 1.35/1.50 apply (zenon_L168_); trivial. % 1.35/1.50 apply (zenon_L87_); trivial. % 1.35/1.50 apply (zenon_L1259_); trivial. % 1.35/1.50 apply (zenon_L1112_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L1172_); trivial. % 1.35/1.50 apply (zenon_L1259_); trivial. % 1.35/1.50 apply (zenon_L1112_); trivial. % 1.35/1.50 apply (zenon_L115_); trivial. % 1.35/1.50 apply (zenon_L1115_); trivial. % 1.35/1.50 apply (zenon_L1119_); trivial. % 1.35/1.50 apply (zenon_L1126_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_L453_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L1261_); trivial. % 1.35/1.50 apply (zenon_L1150_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L452_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_L450_); trivial. % 1.35/1.50 apply (zenon_L347_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1164_); trivial. % 1.35/1.50 apply (zenon_L1268_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_L1171_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L1172_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L1258_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.50 apply (zenon_L1256_); trivial. % 1.35/1.50 apply (zenon_L178_); trivial. % 1.35/1.50 apply (zenon_L86_); trivial. % 1.35/1.50 apply (zenon_L150_); trivial. % 1.35/1.50 apply (zenon_L232_); trivial. % 1.35/1.50 apply (zenon_L1173_); trivial. % 1.35/1.50 apply (zenon_L115_); trivial. % 1.35/1.50 apply (zenon_L1174_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1176_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L236_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L31_); trivial. % 1.35/1.50 apply (zenon_L1269_); trivial. % 1.35/1.50 apply (zenon_L447_); trivial. % 1.35/1.50 apply (zenon_L478_); trivial. % 1.35/1.50 apply (zenon_L247_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1180_); trivial. % 1.35/1.50 apply (zenon_L1268_); trivial. % 1.35/1.50 apply (zenon_L347_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L1270_); trivial. % 1.35/1.50 apply (zenon_L1271_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_L1122_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L31_); trivial. % 1.35/1.50 apply (zenon_L1270_); trivial. % 1.35/1.50 apply (zenon_L1271_); trivial. % 1.35/1.50 apply (zenon_L1273_); trivial. % 1.35/1.50 apply (zenon_L478_); trivial. % 1.35/1.50 apply (zenon_L1243_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L1264_); trivial. % 1.35/1.50 apply (zenon_L1208_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_L1163_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L1265_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L1267_); trivial. % 1.35/1.50 apply (zenon_L1095_); trivial. % 1.35/1.50 apply (zenon_L1167_); trivial. % 1.35/1.50 apply (zenon_L1244_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1176_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L236_); trivial. % 1.35/1.50 apply (zenon_L1273_); trivial. % 1.35/1.50 apply (zenon_L478_); trivial. % 1.35/1.50 apply (zenon_L247_); trivial. % 1.35/1.50 apply (zenon_L1245_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.50 apply (zenon_L1187_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1190_); trivial. % 1.35/1.50 apply (zenon_L1274_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L362_); trivial. % 1.35/1.50 apply (zenon_L1276_); trivial. % 1.35/1.50 apply (zenon_L1195_); trivial. % 1.35/1.50 apply (zenon_L405_); trivial. % 1.35/1.50 apply (zenon_L1200_); trivial. % 1.35/1.50 apply (zenon_L411_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_L1279_); trivial. % 1.35/1.50 apply (zenon_L1122_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_L1278_); trivial. % 1.35/1.50 apply (zenon_L496_); trivial. % 1.35/1.50 apply (zenon_L478_); trivial. % 1.35/1.50 apply (zenon_L1281_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_L1279_); trivial. % 1.35/1.50 apply (zenon_L1163_); trivial. % 1.35/1.50 apply (zenon_L1274_); trivial. % 1.35/1.50 apply (zenon_L1205_); trivial. % 1.35/1.50 apply (zenon_L411_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_L453_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L1261_); trivial. % 1.35/1.50 apply (zenon_L1212_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_L1154_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.50 apply (zenon_L1078_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L240_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L12_); trivial. % 1.35/1.50 apply (zenon_L1132_); trivial. % 1.35/1.50 apply (zenon_L1260_); trivial. % 1.35/1.50 apply (zenon_L271_); trivial. % 1.35/1.50 apply (zenon_L1249_); trivial. % 1.35/1.50 apply (zenon_L1214_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_L1217_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_L1282_); trivial. % 1.35/1.50 apply (zenon_L1283_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_L1282_); trivial. % 1.35/1.50 apply (zenon_L1185_); trivial. % 1.35/1.50 apply (zenon_L411_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L1284_); trivial. % 1.35/1.50 apply (zenon_L1277_); trivial. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_L1122_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.50 apply (zenon_L31_); trivial. % 1.35/1.50 apply (zenon_L1284_); trivial. % 1.35/1.50 apply (zenon_L1277_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.50 apply (zenon_L1272_); trivial. % 1.35/1.50 apply (zenon_L495_); trivial. % 1.35/1.50 apply (zenon_L478_); trivial. % 1.35/1.50 apply (zenon_L1281_); trivial. % 1.35/1.50 apply (zenon_L1254_); trivial. % 1.35/1.50 apply (zenon_L411_); trivial. % 1.35/1.50 (* end of lemma zenon_L1285_ *) % 1.35/1.50 assert (zenon_L1286_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1db zenon_H2c3 zenon_H72 zenon_H2c1 zenon_Ha zenon_H143 zenon_H5b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H1dc ]. % 1.35/1.50 apply (zenon_L1073_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H144 | zenon_intro zenon_H5c ]. % 1.35/1.50 exact (zenon_H143 zenon_H144). % 1.35/1.50 exact (zenon_H5b zenon_H5c). % 1.35/1.50 (* end of lemma zenon_L1286_ *) % 1.35/1.50 assert (zenon_L1287_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp11)) -> (~(hskp21)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H19f zenon_H5b zenon_H143 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.50 apply (zenon_L1286_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.50 apply (zenon_L628_); trivial. % 1.35/1.50 exact (zenon_H123 zenon_H124). % 1.35/1.50 (* end of lemma zenon_L1287_ *) % 1.35/1.50 assert (zenon_L1288_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.50 apply (zenon_L1087_); trivial. % 1.35/1.50 apply (zenon_L629_); trivial. % 1.35/1.50 (* end of lemma zenon_L1288_ *) % 1.35/1.50 assert (zenon_L1289_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_Hc zenon_Hd zenon_He zenon_H33 zenon_H1a3 zenon_H13a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.50 apply (zenon_L1287_); trivial. % 1.35/1.50 apply (zenon_L137_); trivial. % 1.35/1.50 apply (zenon_L1288_); trivial. % 1.35/1.50 (* end of lemma zenon_L1289_ *) % 1.35/1.50 assert (zenon_L1290_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2409)) -> (c2_1 (a2409)) -> (~(hskp10)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H1a1 zenon_H29a zenon_H299 zenon_Hfc zenon_Hfb zenon_H7c zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.50 apply (zenon_L774_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.50 apply (zenon_L1232_); trivial. % 1.35/1.50 exact (zenon_H13f zenon_H140). % 1.35/1.50 (* end of lemma zenon_L1290_ *) % 1.35/1.50 assert (zenon_L1291_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H1cb zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L942_); trivial. % 1.35/1.51 apply (zenon_L1290_); trivial. % 1.35/1.51 (* end of lemma zenon_L1291_ *) % 1.35/1.51 assert (zenon_L1292_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H80 zenon_H10e zenon_H2b0 zenon_H13f zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L700_); trivial. % 1.35/1.51 (* end of lemma zenon_L1292_ *) % 1.35/1.51 assert (zenon_L1293_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H8f zenon_H96 zenon_H2b0 zenon_H13f zenon_H105 zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H16f zenon_H2cd zenon_H2a1 zenon_H10e zenon_H158. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_L1289_); trivial. % 1.35/1.51 apply (zenon_L1292_); trivial. % 1.35/1.51 (* end of lemma zenon_L1293_ *) % 1.35/1.51 assert (zenon_L1294_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H33 zenon_H1a3 zenon_H13a zenon_H189 zenon_H7e zenon_H2b0 zenon_H13f zenon_H19d zenon_H1cb zenon_H1a1 zenon_H12a zenon_H4e zenon_H1cd zenon_H96. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_L1289_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L690_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L31_); trivial. % 1.35/1.51 apply (zenon_L1291_); trivial. % 1.35/1.51 apply (zenon_L1293_); trivial. % 1.35/1.51 (* end of lemma zenon_L1294_ *) % 1.35/1.51 assert (zenon_L1295_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))) -> (ndr1_0) -> (c0_1 (a2402)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44)))))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1dd zenon_Ha zenon_H2cd zenon_H72 zenon_H2c1 zenon_H2c3. % 1.35/1.51 generalize (zenon_H1dd (a2402)). zenon_intro zenon_H2e2. % 1.35/1.51 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2e3 ]. % 1.35/1.51 exact (zenon_H9 zenon_Ha). % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2cc ]. % 1.35/1.51 exact (zenon_H2d1 zenon_H2cd). % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c8 ]. % 1.35/1.51 apply (zenon_L1072_); trivial. % 1.35/1.51 exact (zenon_H2c8 zenon_H2c3). % 1.35/1.51 (* end of lemma zenon_L1295_ *) % 1.35/1.51 assert (zenon_L1296_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (~(c1_1 (a2437))) -> (c0_1 (a2437)) -> (c2_1 (a2437)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H19f zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H14a zenon_H14b zenon_H14c zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H149 | zenon_intro zenon_H2a2 ]. % 1.35/1.51 apply (zenon_L95_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H199 | zenon_intro zenon_H1dd ]. % 1.35/1.51 apply (zenon_L628_); trivial. % 1.35/1.51 apply (zenon_L1295_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.51 apply (zenon_L628_); trivial. % 1.35/1.51 exact (zenon_H123 zenon_H124). % 1.35/1.51 (* end of lemma zenon_L1296_ *) % 1.35/1.51 assert (zenon_L1297_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H153 zenon_H13a zenon_H189 zenon_H187 zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1296_); trivial. % 1.35/1.51 apply (zenon_L126_); trivial. % 1.35/1.51 (* end of lemma zenon_L1297_ *) % 1.35/1.51 assert (zenon_L1298_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H158 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H187 zenon_H189 zenon_H13a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1287_); trivial. % 1.35/1.51 apply (zenon_L126_); trivial. % 1.35/1.51 apply (zenon_L1297_); trivial. % 1.35/1.51 (* end of lemma zenon_L1298_ *) % 1.35/1.51 assert (zenon_L1299_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp11)) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp4)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H5b zenon_H143 zenon_Ha zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H13f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.51 apply (zenon_L743_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.51 apply (zenon_L1286_); trivial. % 1.35/1.51 exact (zenon_H13f zenon_H140). % 1.35/1.51 (* end of lemma zenon_L1299_ *) % 1.35/1.51 assert (zenon_L1300_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp10)) -> (c1_1 (a2406)) -> (c2_1 (a2406)) -> (c3_1 (a2406)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H7c zenon_H22b zenon_H22c zenon_H22d zenon_H299 zenon_H29a zenon_H1a1 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.51 apply (zenon_L660_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.51 apply (zenon_L1232_); trivial. % 1.35/1.51 exact (zenon_H13f zenon_H140). % 1.35/1.51 (* end of lemma zenon_L1300_ *) % 1.35/1.51 assert (zenon_L1301_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H13a zenon_H237 zenon_H12a zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_H7c zenon_H1a1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1db zenon_H5b zenon_H143 zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1287_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.35/1.51 apply (zenon_L261_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L1299_); trivial. % 1.35/1.51 apply (zenon_L1300_); trivial. % 1.35/1.51 (* end of lemma zenon_L1301_ *) % 1.35/1.51 assert (zenon_L1302_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1296_); trivial. % 1.35/1.51 apply (zenon_L648_); trivial. % 1.35/1.51 (* end of lemma zenon_L1302_ *) % 1.35/1.51 assert (zenon_L1303_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1296_); trivial. % 1.35/1.51 apply (zenon_L740_); trivial. % 1.35/1.51 (* end of lemma zenon_L1303_ *) % 1.35/1.51 assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2427)) -> (c2_1 (a2427)) -> (~(c1_1 (a2427))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H153 zenon_H10e zenon_H2a1 zenon_H15b zenon_H15a zenon_H159 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb | zenon_intro zenon_H170 ]. % 1.35/1.51 apply (zenon_L818_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H166 | zenon_intro zenon_Hee ]. % 1.35/1.51 apply (zenon_L1086_); trivial. % 1.35/1.51 exact (zenon_Hed zenon_Hee). % 1.35/1.51 apply (zenon_L629_); trivial. % 1.35/1.51 (* end of lemma zenon_L1304_ *) % 1.35/1.51 assert (zenon_L1305_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H5b zenon_H1db. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L169_); trivial. % 1.35/1.51 apply (zenon_L1304_); trivial. % 1.35/1.51 (* end of lemma zenon_L1305_ *) % 1.35/1.51 assert (zenon_L1306_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H165 zenon_H10e zenon_H16f zenon_H158 zenon_H1b9 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H1a1 zenon_H7c zenon_H1cb zenon_H12a zenon_H237 zenon_H13a zenon_H21c zenon_H1ca. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L1301_); trivial. % 1.35/1.51 apply (zenon_L1302_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L1301_); trivial. % 1.35/1.51 apply (zenon_L1303_); trivial. % 1.35/1.51 apply (zenon_L1305_); trivial. % 1.35/1.51 (* end of lemma zenon_L1306_ *) % 1.35/1.51 assert (zenon_L1307_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (c3_1 (a2406)) -> (c2_1 (a2406)) -> (c1_1 (a2406)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H125 zenon_H2b0 zenon_H22d zenon_H22c zenon_H22b zenon_H299 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.51 apply (zenon_L677_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.51 apply (zenon_L1232_); trivial. % 1.35/1.51 exact (zenon_H13f zenon_H140). % 1.35/1.51 (* end of lemma zenon_L1307_ *) % 1.35/1.51 assert (zenon_L1308_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H2a1 zenon_H2c3 zenon_H2c1 zenon_H2cd zenon_H29a zenon_H299 zenon_H298 zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1296_); trivial. % 1.35/1.51 apply (zenon_L694_); trivial. % 1.35/1.51 (* end of lemma zenon_L1308_ *) % 1.35/1.51 assert (zenon_L1309_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(hskp11)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H158 zenon_H21c zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H5b zenon_H1db zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H1cb zenon_H12a zenon_H237 zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1287_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.35/1.51 apply (zenon_L261_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L1299_); trivial. % 1.35/1.51 apply (zenon_L1307_); trivial. % 1.35/1.51 apply (zenon_L1308_); trivial. % 1.35/1.51 (* end of lemma zenon_L1309_ *) % 1.35/1.51 assert (zenon_L1310_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H158 zenon_H2a1 zenon_H2cd zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1db zenon_H189 zenon_H13a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H237 zenon_H12a zenon_H1cb zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H21c zenon_H4e zenon_H1cd zenon_H2ab zenon_H97. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1298_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1309_); trivial. % 1.35/1.51 apply (zenon_L25_); trivial. % 1.35/1.51 apply (zenon_L675_); trivial. % 1.35/1.51 apply (zenon_L680_); trivial. % 1.35/1.51 (* end of lemma zenon_L1310_ *) % 1.35/1.51 assert (zenon_L1311_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H96 zenon_H1cd zenon_H4e zenon_H165 zenon_H10e zenon_H16f zenon_H1b9 zenon_H23a zenon_H3 zenon_H2b0 zenon_H13f zenon_H19d zenon_H1a1 zenon_H7c zenon_H1cb zenon_H12a zenon_H237 zenon_H21c zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_H13a zenon_H189 zenon_H1db zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H2cd zenon_H2a1 zenon_H158 zenon_H2ab zenon_Haf zenon_H97. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1298_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L40_); trivial. % 1.35/1.51 apply (zenon_L1306_); trivial. % 1.35/1.51 apply (zenon_L656_); trivial. % 1.35/1.51 apply (zenon_L663_); trivial. % 1.35/1.51 (* end of lemma zenon_L1311_ *) % 1.35/1.51 assert (zenon_L1312_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2416))) -> (~(c2_1 (a2416))) -> (c3_1 (a2416)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H1cb zenon_H19d zenon_H29a zenon_H299 zenon_H73 zenon_H74 zenon_H75 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L40_); trivial. % 1.35/1.51 apply (zenon_L1291_); trivial. % 1.35/1.51 (* end of lemma zenon_L1312_ *) % 1.35/1.51 assert (zenon_L1313_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1c5 zenon_H10e zenon_H2ab zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H66 zenon_H65 zenon_H64 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L812_); trivial. % 1.35/1.51 (* end of lemma zenon_L1313_ *) % 1.35/1.51 assert (zenon_L1314_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H6d zenon_H165 zenon_H10e zenon_Haf zenon_H1a1 zenon_H7c zenon_H29a zenon_H298 zenon_H299 zenon_H1b9 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H2a1 zenon_H2ab zenon_H1ca. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H63 | zenon_intro zenon_Hb0 ]. % 1.35/1.51 apply (zenon_L27_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H7d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ba ]. % 1.35/1.51 apply (zenon_L769_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H146 | zenon_intro zenon_H1b8 ]. % 1.35/1.51 exact (zenon_H145 zenon_H146). % 1.35/1.51 exact (zenon_H1b7 zenon_H1b8). % 1.35/1.51 exact (zenon_H7c zenon_H7d). % 1.35/1.51 apply (zenon_L1313_); trivial. % 1.35/1.51 apply (zenon_L655_); trivial. % 1.35/1.51 (* end of lemma zenon_L1314_ *) % 1.35/1.51 assert (zenon_L1315_ : ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H96 zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2ab zenon_H1ca zenon_H189 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H2b0 zenon_H13f zenon_H19d zenon_H1cb zenon_H7c zenon_H1a1 zenon_H12a zenon_H4e zenon_H1cd zenon_H13a zenon_H1a3 zenon_H33 zenon_He zenon_Hd zenon_Hc zenon_H1db zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H16f zenon_H2cd zenon_H2a1 zenon_H10e zenon_H158. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_L1289_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L690_); trivial. % 1.35/1.51 apply (zenon_L1312_); trivial. % 1.35/1.51 apply (zenon_L1314_); trivial. % 1.35/1.51 (* end of lemma zenon_L1315_ *) % 1.35/1.51 assert (zenon_L1316_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H7c zenon_H1a1 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L709_); trivial. % 1.35/1.51 (* end of lemma zenon_L1316_ *) % 1.35/1.51 assert (zenon_L1317_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H19f zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_Ha zenon_H123. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.51 apply (zenon_L1140_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.51 apply (zenon_L628_); trivial. % 1.35/1.51 exact (zenon_H123 zenon_H124). % 1.35/1.51 (* end of lemma zenon_L1317_ *) % 1.35/1.51 assert (zenon_L1318_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1317_); trivial. % 1.35/1.51 apply (zenon_L126_); trivial. % 1.35/1.51 (* end of lemma zenon_L1318_ *) % 1.35/1.51 assert (zenon_L1319_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp30)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (ndr1_0) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H2b0 zenon_H115 zenon_H299 zenon_H29a zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H19d zenon_H20b zenon_H20a zenon_H209 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.51 apply (zenon_L743_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.51 apply (zenon_L1140_); trivial. % 1.35/1.51 exact (zenon_H13f zenon_H140). % 1.35/1.51 (* end of lemma zenon_L1319_ *) % 1.35/1.51 assert (zenon_L1320_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H109 zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H13f zenon_H2b0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L1319_); trivial. % 1.35/1.51 apply (zenon_L1290_); trivial. % 1.35/1.51 (* end of lemma zenon_L1320_ *) % 1.35/1.51 assert (zenon_L1321_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H29a zenon_H299 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L1320_); trivial. % 1.35/1.51 (* end of lemma zenon_L1321_ *) % 1.35/1.51 assert (zenon_L1322_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((hskp10)\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H80 zenon_H1cd zenon_H4e zenon_H10e zenon_H12a zenon_H1a1 zenon_H19d zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H7c zenon_H7e zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H189 zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L690_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L31_); trivial. % 1.35/1.51 apply (zenon_L1321_); trivial. % 1.35/1.51 (* end of lemma zenon_L1322_ *) % 1.35/1.51 assert (zenon_L1323_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (ndr1_0) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H10e zenon_H27 zenon_H25 zenon_H23 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L717_); trivial. % 1.35/1.51 (* end of lemma zenon_L1323_ *) % 1.35/1.51 assert (zenon_L1324_ : ((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp4)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H109 zenon_H2b0 zenon_H298 zenon_H299 zenon_H29a zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H20b zenon_H20a zenon_H209 zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H13f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Ha. zenon_intro zenon_H10a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b1 ]. % 1.35/1.51 apply (zenon_L699_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H72 | zenon_intro zenon_H140 ]. % 1.35/1.51 apply (zenon_L1140_); trivial. % 1.35/1.51 exact (zenon_H13f zenon_H140). % 1.35/1.51 (* end of lemma zenon_L1324_ *) % 1.35/1.51 assert (zenon_L1325_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2403))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H10e zenon_H2b0 zenon_H13f zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H29a zenon_H2a1 zenon_H298 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L1324_); trivial. % 1.35/1.51 (* end of lemma zenon_L1325_ *) % 1.35/1.51 assert (zenon_L1326_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H6d zenon_H10e zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H105 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.51 apply (zenon_L1087_); trivial. % 1.35/1.51 apply (zenon_L873_); trivial. % 1.35/1.51 (* end of lemma zenon_L1326_ *) % 1.35/1.51 assert (zenon_L1327_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4e zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1318_); trivial. % 1.35/1.51 (* end of lemma zenon_L1327_ *) % 1.35/1.51 assert (zenon_L1328_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H12a zenon_H7c zenon_H1a1 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1317_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.35/1.51 apply (zenon_L261_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L1319_); trivial. % 1.35/1.51 apply (zenon_L1300_); trivial. % 1.35/1.51 (* end of lemma zenon_L1328_ *) % 1.35/1.51 assert (zenon_L1329_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H237 zenon_H12a zenon_H7c zenon_H1a1 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e zenon_H5b zenon_H5e zenon_H62. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1327_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1328_); trivial. % 1.35/1.51 apply (zenon_L25_); trivial. % 1.35/1.51 apply (zenon_L656_); trivial. % 1.35/1.51 (* end of lemma zenon_L1329_ *) % 1.35/1.51 assert (zenon_L1330_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1317_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.35/1.51 apply (zenon_L261_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L1319_); trivial. % 1.35/1.51 apply (zenon_L1307_); trivial. % 1.35/1.51 (* end of lemma zenon_L1330_ *) % 1.35/1.51 assert (zenon_L1331_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H13a zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1330_); trivial. % 1.35/1.51 (* end of lemma zenon_L1331_ *) % 1.35/1.51 assert (zenon_L1332_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a2417)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H13a zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H66 zenon_H65 zenon_H64 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1317_); trivial. % 1.35/1.51 apply (zenon_L674_); trivial. % 1.35/1.51 (* end of lemma zenon_L1332_ *) % 1.35/1.51 assert (zenon_L1333_ : ((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H234 zenon_H21c zenon_H299 zenon_H298 zenon_H29a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H52 zenon_H51 zenon_H50 zenon_H1a5 zenon_H1a6 zenon_H1a7. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_Ha. zenon_intro zenon_H235. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22b. zenon_intro zenon_H236. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H22d. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H21d ]. % 1.35/1.51 apply (zenon_L671_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4f | zenon_intro zenon_H18f ]. % 1.35/1.51 apply (zenon_L22_); trivial. % 1.35/1.51 apply (zenon_L139_); trivial. % 1.35/1.51 (* end of lemma zenon_L1333_ *) % 1.35/1.51 assert (zenon_L1334_ : ((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H13b zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H84 zenon_H85 zenon_H86 zenon_H299 zenon_H298 zenon_H29a zenon_H105 zenon_H3 zenon_H23a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.35/1.51 apply (zenon_L261_); trivial. % 1.35/1.51 apply (zenon_L1333_); trivial. % 1.35/1.51 (* end of lemma zenon_L1334_ *) % 1.35/1.51 assert (zenon_L1335_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2417)) -> (~(c0_1 (a2417))) -> (~(c1_1 (a2417))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H21c zenon_H237 zenon_H2ab zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H66 zenon_H64 zenon_H65 zenon_H3 zenon_H23a zenon_H189 zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L763_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L673_); trivial. % 1.35/1.51 apply (zenon_L1334_); trivial. % 1.35/1.51 (* end of lemma zenon_L1335_ *) % 1.35/1.51 assert (zenon_L1336_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c0_1 (a2414)) -> (~(c3_1 (a2414))) -> (~(c1_1 (a2414))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H6d zenon_H62 zenon_H1cd zenon_H21c zenon_H189 zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H23a zenon_H3 zenon_H105 zenon_H86 zenon_H85 zenon_H84 zenon_H2ab zenon_H237 zenon_H13a zenon_H4e. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1332_); trivial. % 1.35/1.51 apply (zenon_L1335_); trivial. % 1.35/1.51 (* end of lemma zenon_L1336_ *) % 1.35/1.51 assert (zenon_L1337_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4e zenon_H13a zenon_H237 zenon_H2b0 zenon_H13f zenon_H75 zenon_H74 zenon_H73 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H25 zenon_H27. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1317_); trivial. % 1.35/1.51 apply (zenon_L679_); trivial. % 1.35/1.51 (* end of lemma zenon_L1337_ *) % 1.35/1.51 assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H237 zenon_H21c zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L690_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L658_); trivial. % 1.35/1.51 apply (zenon_L1334_); trivial. % 1.35/1.51 (* end of lemma zenon_L1338_ *) % 1.35/1.51 assert (zenon_L1339_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H97 zenon_H165 zenon_Haf zenon_H1b9 zenon_H2a1 zenon_H2ab zenon_H1ca zenon_H1cd zenon_H10e zenon_H12a zenon_H1a1 zenon_H7c zenon_H19d zenon_H13f zenon_H2b0 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e zenon_H5b zenon_H5e zenon_H62. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1327_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1321_); trivial. % 1.35/1.51 apply (zenon_L25_); trivial. % 1.35/1.51 apply (zenon_L1314_); trivial. % 1.35/1.51 (* end of lemma zenon_L1339_ *) % 1.35/1.51 assert (zenon_L1340_ : ((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414)))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> (c2_1 (a2413)) -> (~(c1_1 (a2413))) -> (~(c0_1 (a2413))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a2403))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H8f zenon_H96 zenon_H62 zenon_H5e zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H298 zenon_H2a1 zenon_H29a zenon_H299 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H13f zenon_H2b0 zenon_H10e zenon_H4e zenon_H2ab zenon_H97. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1325_); trivial. % 1.35/1.51 apply (zenon_L25_); trivial. % 1.35/1.51 apply (zenon_L1326_); trivial. % 1.35/1.51 apply (zenon_L1292_); trivial. % 1.35/1.51 (* end of lemma zenon_L1340_ *) % 1.35/1.51 assert (zenon_L1341_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4e zenon_H13a zenon_H189 zenon_H187 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L40_); trivial. % 1.35/1.51 apply (zenon_L1318_); trivial. % 1.35/1.51 (* end of lemma zenon_L1341_ *) % 1.35/1.51 assert (zenon_L1342_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(hskp30))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1cd zenon_H237 zenon_H12a zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H19d zenon_H13f zenon_H2b0 zenon_H3 zenon_H23a zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1341_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L40_); trivial. % 1.35/1.51 apply (zenon_L1330_); trivial. % 1.35/1.51 (* end of lemma zenon_L1342_ *) % 1.35/1.51 assert (zenon_L1343_ : ((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp23)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H125 zenon_H19f zenon_H2a zenon_H2b zenon_H2c zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H29a zenon_H299 zenon_H298 zenon_H123. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H11a. zenon_intro zenon_H128. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H72 | zenon_intro zenon_H1a0 ]. % 1.35/1.51 apply (zenon_L1232_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H124 ]. % 1.35/1.51 apply (zenon_L628_); trivial. % 1.35/1.51 exact (zenon_H123 zenon_H124). % 1.35/1.51 (* end of lemma zenon_L1343_ *) % 1.35/1.51 assert (zenon_L1344_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (ndr1_0) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(hskp21)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H12a zenon_H19f zenon_H123 zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H1cb zenon_Ha zenon_H24c zenon_H24d zenon_H24e zenon_H143 zenon_H255. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H115 | zenon_intro zenon_H125 ]. % 1.35/1.51 apply (zenon_L350_); trivial. % 1.35/1.51 apply (zenon_L1343_); trivial. % 1.35/1.51 (* end of lemma zenon_L1344_ *) % 1.35/1.51 assert (zenon_L1345_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H143 zenon_H24e zenon_H24d zenon_H24c zenon_Ha zenon_H1cb zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L1344_); trivial. % 1.35/1.51 apply (zenon_L265_); trivial. % 1.35/1.51 (* end of lemma zenon_L1345_ *) % 1.35/1.51 assert (zenon_L1346_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4a zenon_H158 zenon_H189 zenon_H187 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L1345_); trivial. % 1.35/1.51 apply (zenon_L1297_); trivial. % 1.35/1.51 (* end of lemma zenon_L1346_ *) % 1.35/1.51 assert (zenon_L1347_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1cd zenon_H267 zenon_H2b8 zenon_H33 zenon_H257 zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H2cd zenon_H2a1 zenon_H189 zenon_H158 zenon_H4e. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.51 apply (zenon_L12_); trivial. % 1.35/1.51 apply (zenon_L1346_); trivial. % 1.35/1.51 apply (zenon_L824_); trivial. % 1.35/1.51 (* end of lemma zenon_L1347_ *) % 1.35/1.51 assert (zenon_L1348_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (ndr1_0) -> (~(c0_1 (a2412))) -> (~(c2_1 (a2412))) -> (c1_1 (a2412)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H62 zenon_H5e zenon_H5b zenon_H59 zenon_H4e zenon_H158 zenon_H189 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H27 zenon_H257 zenon_H33 zenon_H2b8 zenon_H267 zenon_H1cd. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.51 apply (zenon_L1347_); trivial. % 1.35/1.51 apply (zenon_L25_); trivial. % 1.35/1.51 (* end of lemma zenon_L1348_ *) % 1.35/1.51 assert (zenon_L1349_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L764_); trivial. % 1.35/1.51 apply (zenon_L1304_); trivial. % 1.35/1.51 (* end of lemma zenon_L1349_ *) % 1.35/1.51 assert (zenon_L1350_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a2417))) -> (~(c0_1 (a2417))) -> (c3_1 (a2417)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H165 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H13a zenon_H23a zenon_H3 zenon_Ha zenon_H65 zenon_H64 zenon_H66 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H1a1 zenon_H7c zenon_H1b9 zenon_H237 zenon_H2ab zenon_H187 zenon_H189 zenon_H1ca. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.51 apply (zenon_L649_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L651_); trivial. % 1.35/1.51 apply (zenon_L126_); trivial. % 1.35/1.51 apply (zenon_L1349_); trivial. % 1.35/1.51 (* end of lemma zenon_L1350_ *) % 1.35/1.51 assert (zenon_L1351_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H6d zenon_H1cd zenon_H21c zenon_H1ca zenon_H189 zenon_H2ab zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H3 zenon_H23a zenon_H13a zenon_H15 zenon_H243 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H2a1 zenon_H10e zenon_H158 zenon_H165. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.51 apply (zenon_L1350_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.51 apply (zenon_L649_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.51 apply (zenon_L764_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.51 apply (zenon_L651_); trivial. % 1.35/1.51 apply (zenon_L740_); trivial. % 1.35/1.51 apply (zenon_L1349_); trivial. % 1.35/1.51 (* end of lemma zenon_L1351_ *) % 1.35/1.51 assert (zenon_L1352_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> (c2_1 (a2418)) -> (c1_1 (a2418)) -> (~(c0_1 (a2418))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1ca zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H52 zenon_H51 zenon_H50 zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_Ha zenon_H23a zenon_H3 zenon_H1a1 zenon_H7c zenon_H145 zenon_H1b9 zenon_H237 zenon_H13a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.52 apply (zenon_L827_); trivial. % 1.35/1.52 apply (zenon_L241_); trivial. % 1.35/1.52 (* end of lemma zenon_L1352_ *) % 1.35/1.52 assert (zenon_L1353_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L691_); trivial. % 1.35/1.52 apply (zenon_L1304_); trivial. % 1.35/1.52 (* end of lemma zenon_L1353_ *) % 1.35/1.52 assert (zenon_L1354_ : ((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c3_1 (a2416)) -> (~(c2_1 (a2416))) -> (~(c1_1 (a2416))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H5d zenon_H1cd zenon_H165 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H15 zenon_H243 zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H21c zenon_H1ca zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H75 zenon_H74 zenon_H73 zenon_H189 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L690_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_L1352_); trivial. % 1.35/1.52 apply (zenon_L1353_); trivial. % 1.35/1.52 (* end of lemma zenon_L1354_ *) % 1.35/1.52 assert (zenon_L1355_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4a zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L1345_); trivial. % 1.35/1.52 apply (zenon_L1288_); trivial. % 1.35/1.52 (* end of lemma zenon_L1355_ *) % 1.35/1.52 assert (zenon_L1356_ : ((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H6d zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H243 zenon_H15 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L764_); trivial. % 1.35/1.52 apply (zenon_L1288_); trivial. % 1.35/1.52 (* end of lemma zenon_L1356_ *) % 1.35/1.52 assert (zenon_L1357_ : ((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H80 zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L691_); trivial. % 1.35/1.52 apply (zenon_L1288_); trivial. % 1.35/1.52 (* end of lemma zenon_L1357_ *) % 1.35/1.52 assert (zenon_L1358_ : ((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> ((~(hskp11))\/((ndr1_0)/\((c3_1 (a2416))/\((~(c1_1 (a2416)))/\(~(c2_1 (a2416))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a2418))/\((c2_1 (a2418))/\(~(c0_1 (a2418))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp12)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(~(c3_1 Y))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a2417))/\((~(c0_1 (a2417)))/\(~(c1_1 (a2417))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H175 zenon_H95 zenon_H96 zenon_H62 zenon_H5e zenon_H4e zenon_H158 zenon_H189 zenon_H2a1 zenon_H2cd zenon_H12a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H1cb zenon_H24c zenon_H24d zenon_H24e zenon_H255 zenon_H15 zenon_H243 zenon_H13a zenon_H27 zenon_H257 zenon_H33 zenon_H2b8 zenon_H267 zenon_H1cd zenon_H165 zenon_H10e zenon_H16f zenon_H23a zenon_H1a1 zenon_H1b9 zenon_H237 zenon_H2ab zenon_H1ca zenon_H21c zenon_H97 zenon_H105 zenon_H98. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L1348_); trivial. % 1.35/1.52 apply (zenon_L1351_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L1347_); trivial. % 1.35/1.52 apply (zenon_L1354_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L1348_); trivial. % 1.35/1.52 apply (zenon_L767_); trivial. % 1.35/1.52 apply (zenon_L695_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L12_); trivial. % 1.35/1.52 apply (zenon_L1355_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L1356_); trivial. % 1.35/1.52 apply (zenon_L1357_); trivial. % 1.35/1.52 (* end of lemma zenon_L1358_ *) % 1.35/1.52 assert (zenon_L1359_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a2453)))/\((~(c1_1 (a2453)))/\(~(c2_1 (a2453))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp5)\/(hskp22))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a2411)) -> (~(c3_1 (a2411))) -> (~(c1_1 (a2411))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp30)\/(hskp21))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2450))/\((c1_1 (a2450))/\(c3_1 (a2450)))))) -> (c0_1 (a2402)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1cd zenon_H267 zenon_H2b8 zenon_H33 zenon_H257 zenon_Ha3 zenon_H59 zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_H13a zenon_H243 zenon_H15 zenon_H255 zenon_H24e zenon_H24d zenon_H24c zenon_H1cb zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H12a zenon_H2cd zenon_H2a1 zenon_H189 zenon_H158 zenon_H4e. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L40_); trivial. % 1.35/1.52 apply (zenon_L1346_); trivial. % 1.35/1.52 apply (zenon_L824_); trivial. % 1.35/1.52 (* end of lemma zenon_L1359_ *) % 1.35/1.52 assert (zenon_L1360_ : ((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> (c3_1 (a2402)) -> (c0_1 (a2402)) -> (~(c1_1 (a2402))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c1_1 (a2403)) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (~(c1_1 (a2407))) -> (~(c2_1 (a2407))) -> (c0_1 (a2407)) -> (~(c2_1 (a2410))) -> (c0_1 (a2410)) -> (c1_1 (a2410)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H92 zenon_H98 zenon_H105 zenon_H16f zenon_H2c3 zenon_H2cd zenon_H2c1 zenon_H1a1 zenon_H2a1 zenon_H29a zenon_H298 zenon_H299 zenon_H24c zenon_H24d zenon_H24e zenon_H190 zenon_H1e8 zenon_H191 zenon_H270 zenon_H10e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.52 apply (zenon_L1087_); trivial. % 1.35/1.52 apply (zenon_L866_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.52 apply (zenon_L1087_); trivial. % 1.35/1.52 apply (zenon_L997_); trivial. % 1.35/1.52 (* end of lemma zenon_L1360_ *) % 1.35/1.52 assert (zenon_L1361_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a2412))/\((~(c0_1 (a2412)))/\(~(c2_1 (a2412))))))) -> ((hskp8)\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(forall X33 : zenon_U, ((ndr1_0)->((c2_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33)))))))) -> (c1_1 (a2410)) -> (c0_1 (a2410)) -> (~(c2_1 (a2410))) -> (c0_1 (a2407)) -> (~(c2_1 (a2407))) -> (~(c1_1 (a2407))) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (c1_1 (a2403)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(c1_1 (a2402))) -> (c0_1 (a2402)) -> (c3_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2414))/\((~(c1_1 (a2414)))/\(~(c3_1 (a2414))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a2413))/\((~(c0_1 (a2413)))/\(~(c1_1 (a2413))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H178 zenon_H7 zenon_H5 zenon_H10e zenon_H270 zenon_H191 zenon_H1e8 zenon_H190 zenon_H24e zenon_H24d zenon_H24c zenon_H299 zenon_H298 zenon_H29a zenon_H2a1 zenon_H1a1 zenon_H2c1 zenon_H2cd zenon_H2c3 zenon_H16f zenon_H105 zenon_H98 zenon_H95. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_L1360_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 (* end of lemma zenon_L1361_ *) % 1.35/1.52 assert (zenon_L1362_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H13a zenon_H237 zenon_H1b9 zenon_H1b7 zenon_H145 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.52 apply (zenon_L1317_); trivial. % 1.35/1.52 apply (zenon_L648_); trivial. % 1.35/1.52 (* end of lemma zenon_L1362_ *) % 1.35/1.52 assert (zenon_L1363_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp21)) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (ndr1_0) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H13a zenon_H243 zenon_H143 zenon_H15 zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_Ha zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.52 apply (zenon_L1317_); trivial. % 1.35/1.52 apply (zenon_L265_); trivial. % 1.35/1.52 (* end of lemma zenon_L1363_ *) % 1.35/1.52 assert (zenon_L1364_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c3_1 (a2428))) -> (~(c2_1 (a2428))) -> (~(c0_1 (a2428))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H1be zenon_H1bd zenon_H1bc zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.52 apply (zenon_L1317_); trivial. % 1.35/1.52 apply (zenon_L740_); trivial. % 1.35/1.52 (* end of lemma zenon_L1364_ *) % 1.35/1.52 assert (zenon_L1365_ : ((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1c5 zenon_H158 zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L1363_); trivial. % 1.35/1.52 apply (zenon_L1364_); trivial. % 1.35/1.52 (* end of lemma zenon_L1365_ *) % 1.35/1.52 assert (zenon_L1366_ : ((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (~(c2_1 (a2425))) -> (~(c3_1 (a2425))) -> (c0_1 (a2425)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H162 zenon_H158 zenon_H10e zenon_H2a1 zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H2a zenon_H2b zenon_H2c zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L1363_); trivial. % 1.35/1.52 apply (zenon_L1304_); trivial. % 1.35/1.52 (* end of lemma zenon_L1366_ *) % 1.35/1.52 assert (zenon_L1367_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c2_1 (a2422))) -> (c1_1 (a2422)) -> (c3_1 (a2422)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4a zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H2a1 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H21c zenon_H158 zenon_H1ca. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.52 apply (zenon_L1362_); trivial. % 1.35/1.52 apply (zenon_L1365_); trivial. % 1.35/1.52 apply (zenon_L1366_); trivial. % 1.35/1.52 (* end of lemma zenon_L1367_ *) % 1.35/1.52 assert (zenon_L1368_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp16)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a2412)) -> (~(c2_1 (a2412))) -> (~(c0_1 (a2412))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/(hskp15)) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1cd zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H243 zenon_H15 zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H27 zenon_H25 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H189 zenon_H13a zenon_H4e. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L1327_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L12_); trivial. % 1.35/1.52 apply (zenon_L1367_); trivial. % 1.35/1.52 (* end of lemma zenon_L1368_ *) % 1.35/1.52 assert (zenon_L1369_ : ((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c0_1 (a2425)) -> (~(c3_1 (a2425))) -> (~(c2_1 (a2425))) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H153 zenon_H13a zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c zenon_H2b zenon_H2a zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_Ha. zenon_intro zenon_H155. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H14b. zenon_intro zenon_H156. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14c. zenon_intro zenon_H14a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.52 apply (zenon_L1317_); trivial. % 1.35/1.52 apply (zenon_L694_); trivial. % 1.35/1.52 (* end of lemma zenon_L1369_ *) % 1.35/1.52 assert (zenon_L1370_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a2422)) -> (c1_1 (a2422)) -> (~(c2_1 (a2422))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c1_1 (a2414))) -> (~(c3_1 (a2414))) -> (c0_1 (a2414)) -> ((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4a zenon_H158 zenon_H237 zenon_H21c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H2a1 zenon_H84 zenon_H85 zenon_H86 zenon_H105 zenon_H3 zenon_H23a zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L1363_); trivial. % 1.35/1.52 apply (zenon_L1369_); trivial. % 1.35/1.52 (* end of lemma zenon_L1370_ *) % 1.35/1.52 assert (zenon_L1371_ : ((ndr1_0)/\((c1_1 (a2422))/\((c3_1 (a2422))/\(~(c2_1 (a2422)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a2427))/\((c3_1 (a2427))/\(~(c1_1 (a2427))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a2406))/\((c2_1 (a2406))/\(c3_1 (a2406)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((c2_1 X31)\/(~(c1_1 X31))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c3_1 X70)\/((~(c0_1 X70))\/(~(c1_1 X70))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c1_1 X21))\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp28)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (c3_1 (a2408)) -> (~(c2_1 (a2408))) -> (c0_1 (a2408)) -> (c3_1 (a2402)) -> (~(c1_1 (a2402))) -> (~(c2_1 (a2403))) -> (~(c3_1 (a2403))) -> (c1_1 (a2403)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(c3_1 X20)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c1_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2428)))/\((~(c2_1 (a2428)))/\(~(c3_1 (a2428))))))) -> (~(c1_1 (a2411))) -> (~(c3_1 (a2411))) -> (c2_1 (a2411)) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((c3_1 X72)\/(~(c2_1 X72))))))\/((hskp16)\/(hskp12))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1ce zenon_H4e zenon_H165 zenon_H10e zenon_H2cd zenon_H16f zenon_H13a zenon_H237 zenon_H1b9 zenon_H7c zenon_H1a1 zenon_H3 zenon_H23a zenon_H1cb zenon_H20b zenon_H20a zenon_H209 zenon_H2c3 zenon_H2c1 zenon_H298 zenon_H299 zenon_H29a zenon_H19f zenon_H243 zenon_H15 zenon_H2a1 zenon_H21c zenon_H158 zenon_H1ca zenon_H9a zenon_H9b zenon_H9c zenon_H59 zenon_Ha3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L40_); trivial. % 1.35/1.52 apply (zenon_L1367_); trivial. % 1.35/1.52 (* end of lemma zenon_L1371_ *) % 1.35/1.52 assert (zenon_L1372_ : ((ndr1_0)/\((c0_1 (a2425))/\((~(c2_1 (a2425)))/\(~(c3_1 (a2425)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a2437))/\((c2_1 (a2437))/\(~(c1_1 (a2437))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2409))/\((c2_1 (a2409))/\(c3_1 (a2409)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c2_1 X82))\/(~(c3_1 X82)))))))) -> (~(c0_1 (a2413))) -> (~(c1_1 (a2413))) -> (c2_1 (a2413)) -> (c0_1 (a2402)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c3_1 X16))))))\/(hskp29))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c3_1 X44))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((c3_1 X6)\/(~(c1_1 X6))))))\/(hskp23))) -> (c1_1 (a2403)) -> (~(c3_1 (a2403))) -> (~(c2_1 (a2403))) -> (~(c1_1 (a2402))) -> (c3_1 (a2402)) -> (c0_1 (a2408)) -> (~(c2_1 (a2408))) -> (c3_1 (a2408)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))\/(forall X42 : zenon_U, ((ndr1_0)->((~(c0_1 X42))\/((~(c1_1 X42))\/(~(c3_1 X42)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c2_1 X14))\/(~(c3_1 X14))))))\/((hskp6)\/(hskp21))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a2455))/\((c3_1 (a2455))/\(~(c0_1 (a2455))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4a zenon_H158 zenon_H10e zenon_H2a1 zenon_Hc zenon_Hd zenon_He zenon_H2cd zenon_H16f zenon_H19f zenon_H29a zenon_H299 zenon_H298 zenon_H2c1 zenon_H2c3 zenon_H209 zenon_H20a zenon_H20b zenon_H1cb zenon_H15 zenon_H243 zenon_H13a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_L1363_); trivial. % 1.35/1.52 apply (zenon_L1288_); trivial. % 1.35/1.52 (* end of lemma zenon_L1372_ *) % 1.35/1.52 apply NNPP. intro zenon_G. % 1.35/1.52 apply zenon_G. zenon_intro zenon_H2e4. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2d8. zenon_intro zenon_H2ed. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2d9. zenon_intro zenon_H2ee. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H285. zenon_intro zenon_H2ef. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H286. zenon_intro zenon_H2f0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H178. zenon_intro zenon_H2f1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H95. zenon_intro zenon_H2f2. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H98. zenon_intro zenon_H2f3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H96. zenon_intro zenon_H2f4. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H97. zenon_intro zenon_H2f5. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H62. zenon_intro zenon_H2f6. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H13e. zenon_intro zenon_H2f7. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1cd. zenon_intro zenon_H2f8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H4e. zenon_intro zenon_H2f9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H165. zenon_intro zenon_H2fa. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1ca. zenon_intro zenon_H2fb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H4b. zenon_intro zenon_H2fc. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H111. zenon_intro zenon_H2fd. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H158. zenon_intro zenon_H2fe. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H267. zenon_intro zenon_H2ff. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H13a. zenon_intro zenon_H300. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H201. zenon_intro zenon_H303. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_Hca. zenon_intro zenon_H304. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H306. zenon_intro zenon_H305. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H237. zenon_intro zenon_H307. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H10e. zenon_intro zenon_H308. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H12a. zenon_intro zenon_H309. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H154. zenon_intro zenon_H30c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_Hb3. zenon_intro zenon_H30d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H139. zenon_intro zenon_H30e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H247. zenon_intro zenon_H30f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2b8. zenon_intro zenon_H310. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H312. zenon_intro zenon_H311. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H238. zenon_intro zenon_H313. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H141. zenon_intro zenon_H314. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H1a3. zenon_intro zenon_H315. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H16f. zenon_intro zenon_H316. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H17. zenon_intro zenon_H317. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H319. zenon_intro zenon_H318. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H2ab. zenon_intro zenon_H31a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_Haf. zenon_intro zenon_H31b. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H6e. zenon_intro zenon_H31c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31e. zenon_intro zenon_H31d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H21c. zenon_intro zenon_H31f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1d9. zenon_intro zenon_H320. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1c6. zenon_intro zenon_H321. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H270. zenon_intro zenon_H322. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H324. zenon_intro zenon_H323. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_Hef. zenon_intro zenon_H325. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H27. zenon_intro zenon_H326. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1b9. zenon_intro zenon_H327. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H18d. zenon_intro zenon_H32a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2b0. zenon_intro zenon_H32b. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H8d. zenon_intro zenon_H32c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H5e. zenon_intro zenon_H32d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H1ae. zenon_intro zenon_H32e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2d5. zenon_intro zenon_H32f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H147. zenon_intro zenon_H330. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H46. zenon_intro zenon_H331. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H333. zenon_intro zenon_H332. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H335. zenon_intro zenon_H334. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H243. zenon_intro zenon_H336. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H23a. zenon_intro zenon_H337. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H189. zenon_intro zenon_H338. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H255. zenon_intro zenon_H33b. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H257. zenon_intro zenon_H33c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H107. zenon_intro zenon_H33d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H19f. zenon_intro zenon_H33e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H7e. zenon_intro zenon_H33f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H105. zenon_intro zenon_H340. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H245. zenon_intro zenon_H341. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H205. zenon_intro zenon_H342. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_Hc6. zenon_intro zenon_H343. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H345. zenon_intro zenon_H344. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Ha3. zenon_intro zenon_H346. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H2a1. zenon_intro zenon_H347. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1cb. zenon_intro zenon_H348. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H1db. zenon_intro zenon_H349. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H37. zenon_intro zenon_H34c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H350. zenon_intro zenon_H34f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H352. zenon_intro zenon_H351. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1ed. zenon_intro zenon_H353. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H19d. zenon_intro zenon_H356. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1a1. zenon_intro zenon_H357. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Hd9. zenon_intro zenon_H35a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H217. zenon_intro zenon_H35b. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H126. zenon_intro zenon_H35e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H1e0. zenon_intro zenon_H35f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H361. zenon_intro zenon_H360. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H363. zenon_intro zenon_H362. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H365. zenon_intro zenon_H364. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H117. zenon_intro zenon_H366. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hb7. zenon_intro zenon_H367. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H7. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H36b ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H43 | zenon_intro zenon_H36c ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_L8_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_L38_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_L119_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L158_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L182_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L184_); trivial. % 1.35/1.52 apply (zenon_L185_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L207_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L209_); trivial. % 1.35/1.52 apply (zenon_L210_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L216_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L217_); trivial. % 1.35/1.52 apply (zenon_L220_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L223_); trivial. % 1.35/1.52 apply (zenon_L224_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L249_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L279_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L299_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L301_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L295_); trivial. % 1.35/1.52 apply (zenon_L304_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L308_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L312_); trivial. % 1.35/1.52 apply (zenon_L316_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L321_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L31_); trivial. % 1.35/1.52 apply (zenon_L294_); trivial. % 1.35/1.52 apply (zenon_L326_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L328_); trivial. % 1.35/1.52 apply (zenon_L316_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L328_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L331_); trivial. % 1.35/1.52 apply (zenon_L210_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L339_); trivial. % 1.35/1.52 apply (zenon_L343_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L31_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.52 apply (zenon_L228_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hed | zenon_intro zenon_H109 ]. % 1.35/1.52 apply (zenon_L346_); trivial. % 1.35/1.52 apply (zenon_L324_); trivial. % 1.35/1.52 apply (zenon_L232_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_L326_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L347_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L348_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L84_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L359_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L362_); trivial. % 1.35/1.52 apply (zenon_L215_); trivial. % 1.35/1.52 apply (zenon_L267_); trivial. % 1.35/1.52 apply (zenon_L363_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L374_); trivial. % 1.35/1.52 apply (zenon_L377_); trivial. % 1.35/1.52 apply (zenon_L380_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L381_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L384_); trivial. % 1.35/1.52 apply (zenon_L386_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L384_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L31_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_L296_); trivial. % 1.35/1.52 apply (zenon_L385_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L373_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L392_); trivial. % 1.35/1.52 apply (zenon_L404_); trivial. % 1.35/1.52 apply (zenon_L405_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L406_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L407_); trivial. % 1.35/1.52 apply (zenon_L220_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L223_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L249_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L279_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L299_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L301_); trivial. % 1.35/1.52 apply (zenon_L377_); trivial. % 1.35/1.52 apply (zenon_L308_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L416_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L321_); trivial. % 1.35/1.52 apply (zenon_L386_); trivial. % 1.35/1.52 apply (zenon_L326_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L418_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L419_); trivial. % 1.35/1.52 apply (zenon_L404_); trivial. % 1.35/1.52 apply (zenon_L405_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L422_); trivial. % 1.35/1.52 apply (zenon_L343_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_L444_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L453_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L458_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L457_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L460_); trivial. % 1.35/1.52 apply (zenon_L461_); trivial. % 1.35/1.52 apply (zenon_L363_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L457_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L460_); trivial. % 1.35/1.52 apply (zenon_L304_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L463_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L467_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L468_); trivial. % 1.35/1.52 apply (zenon_L469_); trivial. % 1.35/1.52 apply (zenon_L465_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L466_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L470_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L331_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L429_); trivial. % 1.35/1.52 apply (zenon_L205_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L471_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L238_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L472_); trivial. % 1.35/1.52 apply (zenon_L473_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_L479_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L348_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L84_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L381_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L480_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L362_); trivial. % 1.35/1.52 apply (zenon_L473_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L240_); trivial. % 1.35/1.52 apply (zenon_L473_); trivial. % 1.35/1.52 apply (zenon_L483_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L374_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L480_); trivial. % 1.35/1.52 apply (zenon_L304_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L380_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L497_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L373_); trivial. % 1.35/1.52 apply (zenon_L502_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L503_); trivial. % 1.35/1.52 apply (zenon_L223_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L249_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L458_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L457_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L504_); trivial. % 1.35/1.52 apply (zenon_L461_); trivial. % 1.35/1.52 apply (zenon_L298_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L457_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L504_); trivial. % 1.35/1.52 apply (zenon_L304_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L463_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L512_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L415_); trivial. % 1.35/1.52 apply (zenon_L502_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L513_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L348_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_L119_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L158_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L182_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L184_); trivial. % 1.35/1.52 apply (zenon_L516_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L207_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L209_); trivial. % 1.35/1.52 apply (zenon_L517_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L216_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L217_); trivial. % 1.35/1.52 apply (zenon_L520_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L223_); trivial. % 1.35/1.52 apply (zenon_L224_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L84_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L89_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L88_); trivial. % 1.35/1.52 apply (zenon_L523_); trivial. % 1.35/1.52 apply (zenon_L111_); trivial. % 1.35/1.52 apply (zenon_L118_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L531_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L542_); trivial. % 1.35/1.52 apply (zenon_L543_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L312_); trivial. % 1.35/1.52 apply (zenon_L544_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L545_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L551_); trivial. % 1.35/1.52 apply (zenon_L516_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L553_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L554_); trivial. % 1.35/1.52 apply (zenon_L516_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L328_); trivial. % 1.35/1.52 apply (zenon_L544_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L470_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L331_); trivial. % 1.35/1.52 apply (zenon_L517_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L339_); trivial. % 1.35/1.52 apply (zenon_L555_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L31_); trivial. % 1.35/1.52 apply (zenon_L561_); trivial. % 1.35/1.52 apply (zenon_L528_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L554_); trivial. % 1.35/1.52 apply (zenon_L243_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L347_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L264_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L563_); trivial. % 1.35/1.52 apply (zenon_L532_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L264_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L551_); trivial. % 1.35/1.52 apply (zenon_L532_); trivial. % 1.35/1.52 apply (zenon_L564_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L264_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L566_); trivial. % 1.35/1.52 apply (zenon_L532_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L52_); trivial. % 1.35/1.52 apply (zenon_L569_); trivial. % 1.35/1.52 apply (zenon_L35_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L571_); trivial. % 1.35/1.52 apply (zenon_L35_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L83_); trivial. % 1.35/1.52 apply (zenon_L569_); trivial. % 1.35/1.52 apply (zenon_L35_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L52_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L563_); trivial. % 1.35/1.52 apply (zenon_L185_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L574_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L52_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L566_); trivial. % 1.35/1.52 apply (zenon_L516_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L523_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L339_); trivial. % 1.35/1.52 apply (zenon_L573_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_L564_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_L574_); trivial. % 1.35/1.52 apply (zenon_L347_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_L576_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L381_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L406_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L384_); trivial. % 1.35/1.52 apply (zenon_L520_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L384_); trivial. % 1.35/1.52 apply (zenon_L552_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L373_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L392_); trivial. % 1.35/1.52 apply (zenon_L578_); trivial. % 1.35/1.52 apply (zenon_L405_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L406_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L407_); trivial. % 1.35/1.52 apply (zenon_L520_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L223_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L46_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L41_); trivial. % 1.35/1.52 apply (zenon_L580_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L41_); trivial. % 1.35/1.52 apply (zenon_L585_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L381_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L587_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L586_); trivial. % 1.35/1.52 apply (zenon_L552_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L588_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L587_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L249_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L590_); trivial. % 1.35/1.52 apply (zenon_L543_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L416_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L545_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L31_); trivial. % 1.35/1.52 apply (zenon_L591_); trivial. % 1.35/1.52 apply (zenon_L520_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L592_); trivial. % 1.35/1.52 apply (zenon_L528_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L418_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L419_); trivial. % 1.35/1.52 apply (zenon_L578_); trivial. % 1.35/1.52 apply (zenon_L405_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L422_); trivial. % 1.35/1.52 apply (zenon_L555_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L344_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L594_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L264_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L40_); trivial. % 1.35/1.52 apply (zenon_L591_); trivial. % 1.35/1.52 apply (zenon_L532_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L592_); trivial. % 1.35/1.52 apply (zenon_L535_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L593_); trivial. % 1.35/1.52 apply (zenon_L580_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L571_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L585_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L594_); trivial. % 1.35/1.52 apply (zenon_L574_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L593_); trivial. % 1.35/1.52 apply (zenon_L595_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L376_); trivial. % 1.35/1.52 apply (zenon_L570_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_L444_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L531_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L542_); trivial. % 1.35/1.52 apply (zenon_L596_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L467_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L545_); trivial. % 1.35/1.52 apply (zenon_L465_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L553_); trivial. % 1.35/1.52 apply (zenon_L465_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L311_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L440_); trivial. % 1.35/1.52 apply (zenon_L597_); trivial. % 1.35/1.52 apply (zenon_L465_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L311_); trivial. % 1.35/1.52 apply (zenon_L443_); trivial. % 1.35/1.52 apply (zenon_L599_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L471_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L238_); trivial. % 1.35/1.52 apply (zenon_L600_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_L479_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L601_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L603_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L601_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L52_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L604_); trivial. % 1.35/1.52 apply (zenon_L605_); trivial. % 1.35/1.52 apply (zenon_L35_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L603_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L83_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L604_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L427_); trivial. % 1.35/1.52 apply (zenon_L268_); trivial. % 1.35/1.52 apply (zenon_L35_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L606_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L607_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L606_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L52_); trivial. % 1.35/1.52 apply (zenon_L599_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L607_); trivial. % 1.35/1.52 apply (zenon_L110_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_L602_); trivial. % 1.35/1.52 apply (zenon_L478_); trivial. % 1.35/1.52 apply (zenon_L247_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L345_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L236_); trivial. % 1.35/1.52 apply (zenon_L608_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L347_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_L576_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L497_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L372_); trivial. % 1.35/1.52 apply (zenon_L405_); trivial. % 1.35/1.52 apply (zenon_L609_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L503_); trivial. % 1.35/1.52 apply (zenon_L613_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L46_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L41_); trivial. % 1.35/1.52 apply (zenon_L609_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L41_); trivial. % 1.35/1.52 apply (zenon_L615_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L359_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L621_); trivial. % 1.35/1.52 apply (zenon_L496_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L588_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L621_); trivial. % 1.35/1.52 apply (zenon_L410_); trivial. % 1.35/1.52 apply (zenon_L613_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L249_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L590_); trivial. % 1.35/1.52 apply (zenon_L596_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L512_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L506_); trivial. % 1.35/1.52 apply (zenon_L609_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L513_); trivial. % 1.35/1.52 apply (zenon_L613_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L625_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L626_); trivial. % 1.35/1.52 apply (zenon_L580_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L626_); trivial. % 1.35/1.52 apply (zenon_L615_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L625_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L623_); trivial. % 1.35/1.52 apply (zenon_L595_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L627_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L40_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.52 apply (zenon_L360_); trivial. % 1.35/1.52 apply (zenon_L487_); trivial. % 1.35/1.52 apply (zenon_L338_); trivial. % 1.35/1.52 apply (zenon_L155_); trivial. % 1.35/1.52 apply (zenon_L148_); trivial. % 1.35/1.52 apply (zenon_L150_); trivial. % 1.35/1.52 apply (zenon_L232_); trivial. % 1.35/1.52 apply (zenon_L509_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L101_); trivial. % 1.35/1.52 apply (zenon_L612_); trivial. % 1.35/1.52 apply (zenon_L222_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Ha. zenon_intro zenon_H370. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H29a. zenon_intro zenon_H371. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H298. zenon_intro zenon_H299. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_L682_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L697_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L89_); trivial. % 1.35/1.52 apply (zenon_L703_); trivial. % 1.35/1.52 apply (zenon_L707_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L713_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L715_); trivial. % 1.35/1.52 apply (zenon_L185_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L114_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L724_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L726_); trivial. % 1.35/1.52 apply (zenon_L728_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L730_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L732_); trivial. % 1.35/1.52 apply (zenon_L87_); trivial. % 1.35/1.52 apply (zenon_L736_); trivial. % 1.35/1.52 apply (zenon_L702_); trivial. % 1.35/1.52 apply (zenon_L681_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L227_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L746_); trivial. % 1.35/1.52 apply (zenon_L749_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L663_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L750_); trivial. % 1.35/1.52 apply (zenon_L749_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L675_); trivial. % 1.35/1.52 apply (zenon_L680_); trivial. % 1.35/1.52 apply (zenon_L37_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L697_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L757_); trivial. % 1.35/1.52 apply (zenon_L703_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L762_); trivial. % 1.35/1.52 apply (zenon_L663_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_L761_); trivial. % 1.35/1.52 apply (zenon_L767_); trivial. % 1.35/1.52 apply (zenon_L706_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L762_); trivial. % 1.35/1.52 apply (zenon_L756_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L768_); trivial. % 1.35/1.52 apply (zenon_L749_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L28_); trivial. % 1.35/1.52 apply (zenon_L702_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L779_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L781_); trivial. % 1.35/1.52 apply (zenon_L185_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L786_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L790_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L792_); trivial. % 1.35/1.52 apply (zenon_L728_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L795_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L729_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.52 apply (zenon_L732_); trivial. % 1.35/1.52 apply (zenon_L794_); trivial. % 1.35/1.52 apply (zenon_L736_); trivial. % 1.35/1.52 apply (zenon_L702_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L798_); trivial. % 1.35/1.52 apply (zenon_L803_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L656_); trivial. % 1.35/1.52 apply (zenon_L663_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L808_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L675_); trivial. % 1.35/1.52 apply (zenon_L706_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L810_); trivial. % 1.35/1.52 apply (zenon_L803_); trivial. % 1.35/1.52 apply (zenon_L25_); trivial. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L786_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.52 apply (zenon_L808_); trivial. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_L816_); trivial. % 1.35/1.52 apply (zenon_L702_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L227_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L826_); trivial. % 1.35/1.52 apply (zenon_L834_); trivial. % 1.35/1.52 apply (zenon_L835_); trivial. % 1.35/1.52 apply (zenon_L37_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L684_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L833_); trivial. % 1.35/1.52 apply (zenon_L825_); trivial. % 1.35/1.52 apply (zenon_L696_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L844_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L847_); trivial. % 1.35/1.52 apply (zenon_L856_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L705_); trivial. % 1.35/1.52 apply (zenon_L834_); trivial. % 1.35/1.52 apply (zenon_L859_); trivial. % 1.35/1.52 apply (zenon_L864_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L865_); trivial. % 1.35/1.52 apply (zenon_L872_); trivial. % 1.35/1.52 apply (zenon_L887_); trivial. % 1.35/1.52 apply (zenon_L411_); trivial. % 1.35/1.52 apply (zenon_L226_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_L227_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_L890_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L889_); trivial. % 1.35/1.52 apply (zenon_L695_); trivial. % 1.35/1.52 apply (zenon_L37_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.52 apply (zenon_L684_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.52 apply (zenon_L891_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.52 apply (zenon_L240_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.53 apply (zenon_L827_); trivial. % 1.35/1.53 apply (zenon_L688_); trivial. % 1.35/1.53 apply (zenon_L831_); trivial. % 1.35/1.53 apply (zenon_L656_); trivial. % 1.35/1.53 apply (zenon_L696_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L757_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L689_); trivial. % 1.35/1.53 apply (zenon_L892_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L890_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L893_); trivial. % 1.35/1.53 apply (zenon_L749_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L767_); trivial. % 1.35/1.53 apply (zenon_L695_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L896_); trivial. % 1.35/1.53 apply (zenon_L756_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L896_); trivial. % 1.35/1.53 apply (zenon_L892_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L904_); trivial. % 1.35/1.53 apply (zenon_L414_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_L872_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L909_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L792_); trivial. % 1.35/1.53 apply (zenon_L413_); trivial. % 1.35/1.53 apply (zenon_L410_); trivial. % 1.35/1.53 apply (zenon_L878_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_L910_); trivial. % 1.35/1.53 apply (zenon_L885_); trivial. % 1.35/1.53 apply (zenon_L886_); trivial. % 1.35/1.53 apply (zenon_L411_); trivial. % 1.35/1.53 apply (zenon_L226_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.53 apply (zenon_L933_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_L936_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L941_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L946_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L939_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_L953_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L956_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L960_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_L971_); trivial. % 1.35/1.53 apply (zenon_L980_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_L984_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L986_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L989_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L939_); trivial. % 1.35/1.53 apply (zenon_L856_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L983_); trivial. % 1.35/1.53 apply (zenon_L864_); trivial. % 1.35/1.53 apply (zenon_L1014_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_L1016_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L1017_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L989_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L939_); trivial. % 1.35/1.53 apply (zenon_L892_); trivial. % 1.35/1.53 apply (zenon_L1019_); trivial. % 1.35/1.53 apply (zenon_L1022_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_L682_); trivial. % 1.35/1.53 apply (zenon_L1026_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L713_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L715_); trivial. % 1.35/1.53 apply (zenon_L516_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_L114_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L724_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L726_); trivial. % 1.35/1.53 apply (zenon_L1028_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L730_); trivial. % 1.35/1.53 apply (zenon_L1025_); trivial. % 1.35/1.53 apply (zenon_L115_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_L681_); trivial. % 1.35/1.53 apply (zenon_L1026_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_L227_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L746_); trivial. % 1.35/1.53 apply (zenon_L1031_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L656_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L750_); trivial. % 1.35/1.53 apply (zenon_L1031_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L28_); trivial. % 1.35/1.53 apply (zenon_L680_); trivial. % 1.35/1.53 apply (zenon_L37_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1033_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_L1034_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L1035_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1033_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1036_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_L1037_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L1038_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1036_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L779_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L781_); trivial. % 1.35/1.53 apply (zenon_L516_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_L1041_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L790_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L792_); trivial. % 1.35/1.53 apply (zenon_L1028_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L795_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L729_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.53 apply (zenon_L1024_); trivial. % 1.35/1.53 apply (zenon_L794_); trivial. % 1.35/1.53 apply (zenon_L115_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L798_); trivial. % 1.35/1.53 apply (zenon_L1042_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L656_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_L1043_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L675_); trivial. % 1.35/1.53 apply (zenon_L706_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L810_); trivial. % 1.35/1.53 apply (zenon_L1042_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_L1041_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_L1043_); trivial. % 1.35/1.53 apply (zenon_L115_); trivial. % 1.35/1.53 apply (zenon_L816_); trivial. % 1.35/1.53 apply (zenon_L706_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1044_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_L1046_); trivial. % 1.35/1.53 apply (zenon_L675_); trivial. % 1.35/1.53 apply (zenon_L680_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1044_); trivial. % 1.35/1.53 apply (zenon_L1041_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_L1046_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_Ha. zenon_intro zenon_H6f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H66. zenon_intro zenon_H70. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H64. zenon_intro zenon_H65. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L52_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L729_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.53 apply (zenon_L522_); trivial. % 1.35/1.53 apply (zenon_L731_); trivial. % 1.35/1.53 apply (zenon_L685_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H162). zenon_intro zenon_Ha. zenon_intro zenon_H163. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H15a. zenon_intro zenon_H164. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15b. zenon_intro zenon_H159. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.35/1.53 apply (zenon_L522_); trivial. % 1.35/1.53 apply (zenon_L721_); trivial. % 1.35/1.53 apply (zenon_L667_); trivial. % 1.35/1.53 apply (zenon_L794_); trivial. % 1.35/1.53 apply (zenon_L115_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L738_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.53 apply (zenon_L12_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.35/1.53 apply (zenon_L228_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.35/1.53 apply (zenon_L141_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_Ha. zenon_intro zenon_H13c. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12c. zenon_intro zenon_H13d. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H12d. zenon_intro zenon_H12b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1fd ]. % 1.35/1.53 apply (zenon_L192_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_Ha. zenon_intro zenon_H1fe. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H1f2. zenon_intro zenon_H1ff. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f1. zenon_intro zenon_H200. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.35/1.53 apply (zenon_L796_); trivial. % 1.35/1.53 apply (zenon_L51_); trivial. % 1.35/1.53 apply (zenon_L637_); trivial. % 1.35/1.53 apply (zenon_L640_); trivial. % 1.35/1.53 apply (zenon_L1042_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L656_); trivial. % 1.35/1.53 apply (zenon_L663_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_L1047_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L675_); trivial. % 1.35/1.53 apply (zenon_L706_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L948_); trivial. % 1.35/1.53 apply (zenon_L1042_); trivial. % 1.35/1.53 apply (zenon_L25_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.35/1.53 apply (zenon_L949_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.35/1.53 apply (zenon_L690_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.35/1.53 apply (zenon_L12_); trivial. % 1.35/1.53 apply (zenon_L1039_); trivial. % 1.35/1.53 apply (zenon_L970_); trivial. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.35/1.53 apply (zenon_L1047_); trivial. % 1.35/1.53 apply (zenon_L115_); trivial. % 1.35/1.53 apply (zenon_L816_); trivial. % 1.35/1.53 apply (zenon_L702_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_L227_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L1050_); trivial. % 1.35/1.53 apply (zenon_L835_); trivial. % 1.35/1.53 apply (zenon_L37_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L837_); trivial. % 1.35/1.53 apply (zenon_L1049_); trivial. % 1.35/1.53 apply (zenon_L1034_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L844_); trivial. % 1.35/1.53 apply (zenon_L1056_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L1050_); trivial. % 1.35/1.53 apply (zenon_L859_); trivial. % 1.35/1.53 apply (zenon_L864_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L865_); trivial. % 1.35/1.53 apply (zenon_L1058_); trivial. % 1.35/1.53 apply (zenon_L887_); trivial. % 1.35/1.53 apply (zenon_L411_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_L1011_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_L1012_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_L1013_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_L1006_); trivial. % 1.35/1.53 apply (zenon_L886_); trivial. % 1.35/1.53 apply (zenon_L411_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.35/1.53 apply (zenon_L227_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_L1059_); trivial. % 1.35/1.53 apply (zenon_L656_); trivial. % 1.35/1.53 apply (zenon_L1060_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.35/1.53 apply (zenon_L1059_); trivial. % 1.35/1.53 apply (zenon_L767_); trivial. % 1.35/1.53 apply (zenon_L695_); trivial. % 1.35/1.53 apply (zenon_L37_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1033_); trivial. % 1.44/1.53 apply (zenon_L1060_); trivial. % 1.44/1.53 apply (zenon_L1034_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L1035_); trivial. % 1.44/1.53 apply (zenon_L1056_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1036_); trivial. % 1.44/1.53 apply (zenon_L1060_); trivial. % 1.44/1.53 apply (zenon_L1037_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L1038_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1036_); trivial. % 1.44/1.53 apply (zenon_L1055_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_L904_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L412_); trivial. % 1.44/1.53 apply (zenon_L1061_); trivial. % 1.44/1.53 apply (zenon_L45_); trivial. % 1.44/1.53 apply (zenon_L1058_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_L909_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L792_); trivial. % 1.44/1.53 apply (zenon_L1061_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L878_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L910_); trivial. % 1.44/1.53 apply (zenon_L1053_); trivial. % 1.44/1.53 apply (zenon_L886_); trivial. % 1.44/1.53 apply (zenon_L411_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1065_); trivial. % 1.44/1.53 apply (zenon_L1020_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_L52_); trivial. % 1.44/1.53 apply (zenon_L1066_); trivial. % 1.44/1.53 apply (zenon_L1010_); trivial. % 1.44/1.53 apply (zenon_L1021_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1065_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L690_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L31_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.44/1.53 apply (zenon_L897_); trivial. % 1.44/1.53 apply (zenon_L839_); trivial. % 1.44/1.53 apply (zenon_L155_); trivial. % 1.44/1.53 apply (zenon_L637_); trivial. % 1.44/1.53 apply (zenon_L385_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hcc. zenon_intro zenon_H114. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hcd. zenon_intro zenon_Hda. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L690_); trivial. % 1.44/1.53 apply (zenon_L1064_); trivial. % 1.44/1.53 apply (zenon_L871_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_L1067_); trivial. % 1.44/1.53 apply (zenon_L1066_); trivial. % 1.44/1.53 apply (zenon_L878_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_L1067_); trivial. % 1.44/1.53 apply (zenon_L1051_); trivial. % 1.44/1.53 apply (zenon_L886_); trivial. % 1.44/1.53 apply (zenon_L411_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Ha. zenon_intro zenon_H2da. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H275. zenon_intro zenon_H2db. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H276. zenon_intro zenon_H274. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_L933_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L936_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L941_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L946_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L939_); trivial. % 1.44/1.53 apply (zenon_L1068_); trivial. % 1.44/1.53 apply (zenon_L953_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L956_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L960_); trivial. % 1.44/1.53 apply (zenon_L1068_); trivial. % 1.44/1.53 apply (zenon_L971_); trivial. % 1.44/1.53 apply (zenon_L980_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L984_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L986_); trivial. % 1.44/1.53 apply (zenon_L1070_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H112 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L821_); trivial. % 1.44/1.53 apply (zenon_L858_); trivial. % 1.44/1.53 apply (zenon_L935_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L28_); trivial. % 1.44/1.53 apply (zenon_L982_); trivial. % 1.44/1.53 apply (zenon_L859_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1071_); trivial. % 1.44/1.53 apply (zenon_L988_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1071_); trivial. % 1.44/1.53 apply (zenon_L1069_); trivial. % 1.44/1.53 apply (zenon_L1014_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L1016_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1017_); trivial. % 1.44/1.53 apply (zenon_L1070_); trivial. % 1.44/1.53 apply (zenon_L1019_); trivial. % 1.44/1.53 apply (zenon_L1022_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Ha. zenon_intro zenon_H372. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2cd. zenon_intro zenon_H373. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H2c3. zenon_intro zenon_H2c1. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H43 | zenon_intro zenon_H36c ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H202 | zenon_intro zenon_H36d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_L1127_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L249_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1134_); trivial. % 1.44/1.53 apply (zenon_L1150_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1155_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L246_); trivial. % 1.44/1.53 apply (zenon_L1149_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1164_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L1160_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_L1159_); trivial. % 1.44/1.53 apply (zenon_L1165_); trivial. % 1.44/1.53 apply (zenon_L1167_); trivial. % 1.44/1.53 apply (zenon_L1175_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1176_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L236_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_L228_); trivial. % 1.44/1.53 apply (zenon_L1178_); trivial. % 1.44/1.53 apply (zenon_L214_); trivial. % 1.44/1.53 apply (zenon_L243_); trivial. % 1.44/1.53 apply (zenon_L247_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1180_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L236_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L31_); trivial. % 1.44/1.53 apply (zenon_L1181_); trivial. % 1.44/1.53 apply (zenon_L347_); trivial. % 1.44/1.53 apply (zenon_L226_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_L1206_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L249_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1134_); trivial. % 1.44/1.53 apply (zenon_L1212_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1155_); trivial. % 1.44/1.53 apply (zenon_L1214_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L1220_); trivial. % 1.44/1.53 apply (zenon_L226_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_Ha. zenon_intro zenon_H36e. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H28a. zenon_intro zenon_H36f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H28c. zenon_intro zenon_H28b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H227 | zenon_intro zenon_H2d7 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_L1127_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L531_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1222_); trivial. % 1.44/1.53 apply (zenon_L1150_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L530_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L529_); trivial. % 1.44/1.53 apply (zenon_L1149_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1164_); trivial. % 1.44/1.53 apply (zenon_L1228_); trivial. % 1.44/1.53 apply (zenon_L1175_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1176_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L236_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L31_); trivial. % 1.44/1.53 apply (zenon_L1231_); trivial. % 1.44/1.53 apply (zenon_L528_); trivial. % 1.44/1.53 apply (zenon_L478_); trivial. % 1.44/1.53 apply (zenon_L247_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1180_); trivial. % 1.44/1.53 apply (zenon_L1228_); trivial. % 1.44/1.53 apply (zenon_L347_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_L1235_); trivial. % 1.44/1.53 apply (zenon_L1121_); trivial. % 1.44/1.53 apply (zenon_L1225_); trivial. % 1.44/1.53 apply (zenon_L167_); trivial. % 1.44/1.53 apply (zenon_L168_); trivial. % 1.44/1.53 apply (zenon_L232_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hc5 ]. % 1.44/1.53 apply (zenon_L48_); trivial. % 1.44/1.53 apply (zenon_L1236_); trivial. % 1.44/1.53 apply (zenon_L1076_); trivial. % 1.44/1.53 apply (zenon_L155_); trivial. % 1.44/1.53 apply (zenon_L19_); trivial. % 1.44/1.53 apply (zenon_L168_); trivial. % 1.44/1.53 apply (zenon_L232_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1122_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1237_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_L1238_); trivial. % 1.44/1.53 apply (zenon_L293_); trivial. % 1.44/1.53 apply (zenon_L1239_); trivial. % 1.44/1.53 apply (zenon_L478_); trivial. % 1.44/1.53 apply (zenon_L1243_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1164_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L1160_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1227_); trivial. % 1.44/1.53 apply (zenon_L1095_); trivial. % 1.44/1.53 apply (zenon_L1167_); trivial. % 1.44/1.53 apply (zenon_L1244_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1176_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L236_); trivial. % 1.44/1.53 apply (zenon_L1239_); trivial. % 1.44/1.53 apply (zenon_L478_); trivial. % 1.44/1.53 apply (zenon_L247_); trivial. % 1.44/1.53 apply (zenon_L1245_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_L1206_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L531_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1222_); trivial. % 1.44/1.53 apply (zenon_L1212_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1154_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_L1221_); trivial. % 1.44/1.53 apply (zenon_L449_); trivial. % 1.44/1.53 apply (zenon_L1249_); trivial. % 1.44/1.53 apply (zenon_L1214_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L1220_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_L1251_); trivial. % 1.44/1.53 apply (zenon_L1121_); trivial. % 1.44/1.53 apply (zenon_L266_); trivial. % 1.44/1.53 apply (zenon_L1225_); trivial. % 1.44/1.53 apply (zenon_L167_); trivial. % 1.44/1.53 apply (zenon_L168_); trivial. % 1.44/1.53 apply (zenon_L232_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H10d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H143 | zenon_intro zenon_H153 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_L1251_); trivial. % 1.44/1.53 apply (zenon_L1203_); trivial. % 1.44/1.53 apply (zenon_L266_); trivial. % 1.44/1.53 apply (zenon_L147_); trivial. % 1.44/1.53 apply (zenon_L168_); trivial. % 1.44/1.53 apply (zenon_L385_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1122_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1237_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_L1238_); trivial. % 1.44/1.53 apply (zenon_L385_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_Ha. zenon_intro zenon_H5f. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H51. zenon_intro zenon_H60. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H52. zenon_intro zenon_H50. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L31_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H145 | zenon_intro zenon_H162 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c5 ]. % 1.44/1.53 apply (zenon_L1226_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c7. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1bd. zenon_intro zenon_H1be. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H45 ]. % 1.44/1.53 apply (zenon_L1177_); trivial. % 1.44/1.53 apply (zenon_L382_); trivial. % 1.44/1.53 apply (zenon_L214_); trivial. % 1.44/1.53 apply (zenon_L535_); trivial. % 1.44/1.53 apply (zenon_L478_); trivial. % 1.44/1.53 apply (zenon_L1243_); trivial. % 1.44/1.53 apply (zenon_L1254_); trivial. % 1.44/1.53 apply (zenon_L411_); trivial. % 1.44/1.53 apply (zenon_L1285_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_Ha. zenon_intro zenon_H370. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H29a. zenon_intro zenon_H371. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H298. zenon_intro zenon_H299. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H13f | zenon_intro zenon_H2dc ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_L1294_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1298_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L12_); trivial. % 1.44/1.53 apply (zenon_L1306_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L656_); trivial. % 1.44/1.53 apply (zenon_L663_); trivial. % 1.44/1.53 apply (zenon_L1310_); trivial. % 1.44/1.53 apply (zenon_L1294_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L1311_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1298_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1309_); trivial. % 1.44/1.53 apply (zenon_L675_); trivial. % 1.44/1.53 apply (zenon_L680_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_L1315_); trivial. % 1.44/1.53 apply (zenon_L1293_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L4_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L1316_); trivial. % 1.44/1.53 apply (zenon_L1318_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L1316_); trivial. % 1.44/1.53 apply (zenon_L1321_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1314_); trivial. % 1.44/1.53 apply (zenon_L1322_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L1323_); trivial. % 1.44/1.53 apply (zenon_L1325_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1326_); trivial. % 1.44/1.53 apply (zenon_L1292_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1329_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L690_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L31_); trivial. % 1.44/1.53 apply (zenon_L1328_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1327_); trivial. % 1.44/1.53 apply (zenon_L1331_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1336_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L1337_); trivial. % 1.44/1.53 apply (zenon_L1338_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_L1339_); trivial. % 1.44/1.53 apply (zenon_L1322_); trivial. % 1.44/1.53 apply (zenon_L1340_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1341_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1328_); trivial. % 1.44/1.53 apply (zenon_L656_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_L1342_); trivial. % 1.44/1.53 apply (zenon_L675_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1341_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1321_); trivial. % 1.44/1.53 apply (zenon_L1314_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1325_); trivial. % 1.44/1.53 apply (zenon_L1326_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_Ha. zenon_intro zenon_H2e0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H24e. zenon_intro zenon_H2e1. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H24c. zenon_intro zenon_H24d. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H33 | zenon_intro zenon_H2dd ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_L227_); trivial. % 1.44/1.53 apply (zenon_L1358_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_L1359_); trivial. % 1.44/1.53 apply (zenon_L1351_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_L1359_); trivial. % 1.44/1.53 apply (zenon_L767_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1355_); trivial. % 1.44/1.53 apply (zenon_L1356_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L1361_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_L1011_); trivial. % 1.44/1.53 apply (zenon_L1360_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Ha. zenon_intro zenon_H2de. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H209. zenon_intro zenon_H2df. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H20b. zenon_intro zenon_H20a. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H15 | zenon_intro zenon_H287 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H1 | zenon_intro zenon_H175 ]. % 1.44/1.53 apply (zenon_L227_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H176. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1c. zenon_intro zenon_H177. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L1368_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L1351_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_Ha. zenon_intro zenon_H81. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H75. zenon_intro zenon_H82. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H73. zenon_intro zenon_H74. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_L1368_); trivial. % 1.44/1.53 apply (zenon_L1354_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H5b | zenon_intro zenon_H80 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H25 | zenon_intro zenon_H5d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1327_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L12_); trivial. % 1.44/1.53 apply (zenon_L1370_); trivial. % 1.44/1.53 apply (zenon_L25_); trivial. % 1.44/1.53 apply (zenon_L767_); trivial. % 1.44/1.53 apply (zenon_L695_); trivial. % 1.44/1.53 apply (zenon_L37_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1341_); trivial. % 1.44/1.53 apply (zenon_L1371_); trivial. % 1.44/1.53 apply (zenon_L1351_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H187 | zenon_intro zenon_H1ce ]. % 1.44/1.53 apply (zenon_L1341_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_Ha. zenon_intro zenon_H1cf. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H1a6. zenon_intro zenon_H1d0. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H1a7. zenon_intro zenon_H1a5. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1370_); trivial. % 1.44/1.53 apply (zenon_L767_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_Ha. zenon_intro zenon_H93. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_He. zenon_intro zenon_H94. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_L1372_); trivial. % 1.44/1.53 apply (zenon_L1356_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e8. zenon_intro zenon_H289. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H191. zenon_intro zenon_H190. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H5 | zenon_intro zenon_H204 ]. % 1.44/1.53 apply (zenon_L1361_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H206. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H9c. zenon_intro zenon_H207. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H9a. zenon_intro zenon_H9b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H92 ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H7c | zenon_intro zenon_H8f ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_L1317_); trivial. % 1.44/1.53 apply (zenon_L1004_); trivial. % 1.44/1.53 apply (zenon_L1005_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H8f). zenon_intro zenon_Ha. zenon_intro zenon_H90. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H86. zenon_intro zenon_H91. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H84. zenon_intro zenon_H85. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H6d ]. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H23 | zenon_intro zenon_H4a ]. % 1.44/1.53 apply (zenon_L40_); trivial. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H2c. zenon_intro zenon_H4d. % 1.44/1.53 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.44/1.53 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H123 | zenon_intro zenon_H13b ]. % 1.44/1.53 apply (zenon_L1317_); trivial. % 1.44/1.53 apply (zenon_L1009_); trivial. % 1.44/1.53 apply (zenon_L1010_); trivial. % 1.44/1.53 apply (zenon_L1360_); trivial. % 1.44/1.53 Qed. % 1.44/1.53 % SZS output end Proof % 1.44/1.53 (* END-PROOF *) % 1.44/1.53 nodes searched: 35234 % 1.44/1.53 max branch formulas: 519 % 1.44/1.53 proof nodes created: 7799 % 1.44/1.53 formulas created: 38272 % 1.44/1.53 %------------------------------------------------------------------------------